Subjects -> MATHEMATICS (Total: 1082 journals)
    - APPLIED MATHEMATICS (86 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (800 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (24 journals)
    - PROBABILITIES AND MATH STATISTICS (106 journals)

MATHEMATICS (800 journals)            First | 1 2 3 4     

Showing 401 - 538 of 538 Journals sorted alphabetically
Journal of Cryptology     Hybrid Journal   (Followers: 3)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
Journal of Discrete Algorithms     Hybrid Journal   (Followers: 4)
Journal of Discrete Mathematics     Open Access   (Followers: 1)
Journal of Dynamics and Differential Equations     Hybrid Journal  
Journal of Engineering Mathematics     Hybrid Journal   (Followers: 2)
Journal of Evolution Equations     Hybrid Journal  
Journal of Experimental Algorithmics     Full-text available via subscription   (Followers: 1)
Journal of Flood Risk Management     Hybrid Journal   (Followers: 12)
Journal of Formalized Reasoning     Open Access   (Followers: 2)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 2)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 1)
Journal of Geological Research     Open Access   (Followers: 1)
Journal of Geovisualization and Spatial Analysis     Hybrid Journal  
Journal of Global Optimization     Hybrid Journal   (Followers: 6)
Journal of Global Research in Mathematical Archives     Open Access   (Followers: 1)
Journal of Group Theory     Hybrid Journal   (Followers: 2)
Journal of Homotopy and Related Structures     Hybrid Journal  
Journal of Honai Math     Open Access  
Journal of Humanistic Mathematics     Open Access   (Followers: 1)
Journal of Hyperbolic Differential Equations     Hybrid Journal  
Journal of Indian Council of Philosophical Research     Hybrid Journal  
Journal of Industrial Mathematics     Open Access   (Followers: 2)
Journal of Inequalities and Applications     Open Access  
Journal of Infrared, Millimeter and Terahertz Waves     Hybrid Journal   (Followers: 2)
Journal of Integrable Systems     Open Access   (Followers: 1)
Journal of K-Theory     Full-text available via subscription  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 1)
Journal of Kufa for Mathematics and Computer     Open Access   (Followers: 1)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal  
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 4)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 4)
Journal of mathematical and computational science     Open Access   (Followers: 7)
Journal of Mathematical and Fundamental Sciences     Open Access  
Journal of Mathematical Behavior     Hybrid Journal   (Followers: 2)
Journal of Mathematical Chemistry     Hybrid Journal   (Followers: 3)
Journal of Mathematical Cryptology     Hybrid Journal   (Followers: 1)
Journal of Mathematical Extension     Open Access   (Followers: 3)
Journal of Mathematical Finance     Open Access   (Followers: 8)
Journal of Mathematical Imaging and Vision     Hybrid Journal   (Followers: 6)
Journal of Mathematical Logic     Hybrid Journal   (Followers: 2)
Journal of Mathematical Modelling and Algorithms     Hybrid Journal   (Followers: 1)
Journal of Mathematical Neuroscience     Open Access   (Followers: 9)
Journal of Mathematical Sciences     Hybrid Journal  
Journal of Mathematical Sciences and Applications     Open Access   (Followers: 2)
Journal of Mathematical Sociology     Hybrid Journal   (Followers: 3)
Journal of Mathematics     Open Access  
Journal of Mathematics and Statistics     Open Access   (Followers: 8)
Journal of Mathematics and the Arts     Hybrid Journal   (Followers: 2)
Journal of Mathematics in Industry     Open Access  
Journal of Mathematics Research     Open Access   (Followers: 6)
Journal of Metallurgy     Open Access   (Followers: 7)
Journal of Modern Mathematics Frontier     Open Access  
Journal of Multidisciplinary Modeling and Optimization     Open Access  
Journal of Multivariate Analysis     Hybrid Journal   (Followers: 13)
Journal of Natural Sciences and Mathematics Research     Open Access  
Journal of Nonlinear Analysis and Optimization : Theory & Applications     Open Access   (Followers: 4)
Journal of Nonlinear Mathematical Physics     Hybrid Journal   (Followers: 1)
Journal of Nonlinear Science     Hybrid Journal   (Followers: 1)
Journal of Numerical Cognition     Open Access  
Journal of Numerical Mathematics     Hybrid Journal   (Followers: 2)
Journal of Optimization     Open Access   (Followers: 4)
Journal of Peridynamics and Nonlocal Modeling     Hybrid Journal  
Journal of Problem Solving     Open Access   (Followers: 2)
Journal of Progressive Research in Mathematics     Open Access   (Followers: 1)
Journal of Pseudo-Differential Operators and Applications     Hybrid Journal  
Journal of Pure and Applied Algebra     Full-text available via subscription   (Followers: 4)
Journal of Quantitative Analysis in Sports     Hybrid Journal   (Followers: 8)
Journal of Quantitative Linguistics     Hybrid Journal   (Followers: 6)
Journal of Scientific Computing     Hybrid Journal   (Followers: 18)
Journal of Scientific Research     Open Access  
Journal of Symbolic Computation     Hybrid Journal   (Followers: 1)
Journal of the Australian Mathematical Society     Full-text available via subscription  
Journal of the Egyptian Mathematical Society     Open Access  
Journal of the European Mathematical Society     Full-text available via subscription   (Followers: 1)
Journal of the Indian Mathematical Society     Hybrid Journal   (Followers: 1)
Journal of the Institute of Mathematics of Jussieu     Hybrid Journal  
Journal of the London Mathematical Society     Hybrid Journal   (Followers: 2)
Journal of the Nigerian Mathematical Society     Open Access   (Followers: 1)
Journal of Theoretical and Applied Physics     Open Access   (Followers: 8)
Journal of Topology and Analysis     Hybrid Journal  
Journal of Transport and Supply Chain Management     Open Access   (Followers: 14)
Journal of Turbulence     Hybrid Journal   (Followers: 7)
Journal of Uncertainty Analysis and Applications     Open Access  
Journal of Universal Mathematics     Open Access  
Journal of Urban Regeneration & Renewal     Full-text available via subscription   (Followers: 11)
Journal of Water and Land Development     Open Access   (Followers: 3)
JRAMathEdu : Journal of Research and Advances in Mathematics Education     Open Access   (Followers: 4)
JUMLAHKU : Jurnal Matematika Ilmiah STKIP Muhammadiyah Kuningan     Open Access   (Followers: 2)
JURING (Journal for Research in Mathematics Learning)     Open Access   (Followers: 1)
Jurnal Ilmiah AdMathEdu     Open Access  
Jurnal Matematika     Open Access   (Followers: 1)
Jurnal Matematika Integratif     Open Access  
Jurnal Matematika, Sains, Dan Teknologi     Open Access  
Jurnal Natural     Open Access  
Jurnal Pendidikan Matematika Raflesia     Open Access  
Jurnal Penelitian Pembelajaran Matematika Sekolah     Open Access  
Jurnal Penelitian Sains (JPS)     Open Access  
Jurnal Riset Pendidikan Matematika     Open Access  
Jurnal Sains Matematika dan Statistika     Open Access  
Jurnal Tadris Matematika     Open Access  
Jurnal Teknologi dan Sistem Komputer     Open Access  
Kontinu : Jurnal Penelitian Didaktik Matematika     Open Access   (Followers: 2)
Kreano, Jurnal Matematika Kreatif-Inovatif     Open Access   (Followers: 5)
Le Matematiche     Open Access  
Learning and Teaching Mathematics     Full-text available via subscription   (Followers: 7)
Lettera Matematica     Hybrid Journal  
Lietuvos Matematikos Rinkinys     Open Access   (Followers: 2)
Limits : Journal of Mathematics and Its Applications     Open Access   (Followers: 1)
Linear Algebra and its Applications     Full-text available via subscription   (Followers: 23)
Linear and Multilinear Algebra     Hybrid Journal   (Followers: 8)
Lithuanian Mathematical Journal     Hybrid Journal  
LMS Journal of Computation and Mathematics     Free  
Lobachevskii Journal of Mathematics     Open Access  
Logic and Analysis     Hybrid Journal  
Logic Journal of the IGPL     Hybrid Journal  
Logica Universalis     Hybrid Journal  
manuscripta mathematica     Hybrid Journal  
MaPan : Jurnal Matematika dan Pembelajaran     Open Access  
Marine Genomics     Hybrid Journal   (Followers: 2)
Matemáticas, Educación y Sociedad     Open Access  
Matematicheskie Zametki     Full-text available via subscription  
Matematika     Open Access  
Matematychni Studii     Open Access  
Mathematica Eterna     Open Access  
Mathematica Scandinavica     Open Access   (Followers: 1)
Mathematica Slovaca     Hybrid Journal   (Followers: 1)
Mathematical and Computational Forestry & Natural-Resource Sciences     Free  
Mathematical Communications     Open Access  
Mathematical Computation     Open Access   (Followers: 1)
Mathematical Geosciences     Hybrid Journal   (Followers: 3)
Mathematical Medicine and Biology: A Journal of the IMA     Hybrid Journal   (Followers: 1)
Mathematical Methods in the Applied Sciences     Hybrid Journal   (Followers: 4)
Mathematical Methods of Statistics     Hybrid Journal   (Followers: 4)
Mathematical Modelling and Analysis     Open Access   (Followers: 1)
Mathematical Modelling in Civil Engineering     Open Access   (Followers: 5)
Mathematical Modelling of Natural Phenomena     Full-text available via subscription   (Followers: 1)
Mathematical Models and Methods in Applied Sciences     Hybrid Journal   (Followers: 2)
Mathematical Notes     Hybrid Journal  
Mathematical Proceedings of the Cambridge Philosophical Society     Full-text available via subscription   (Followers: 1)
Mathematical Programming Computation     Hybrid Journal   (Followers: 3)
Mathematical Sciences     Open Access  
Mathematical Social Sciences     Hybrid Journal   (Followers: 1)
Mathematical Theory and Modeling     Open Access   (Followers: 13)
Mathematical Thinking and Learning     Hybrid Journal   (Followers: 3)
Mathematics and Statistics     Open Access   (Followers: 5)
Mathematics Education Forum Chitwan     Open Access   (Followers: 1)
Mathematics Education Journal     Open Access   (Followers: 1)
Mathematics Education Research Journal     Partially Free   (Followers: 17)
Mathematics in Science and Engineering     Full-text available via subscription  
Mathematics of Control, Signals, and Systems (MCSS)     Hybrid Journal   (Followers: 5)
Mathematics of Quantum and Nano Technologies     Open Access  
Mathématiques et sciences humaines     Open Access   (Followers: 7)
Mathematische Annalen     Hybrid Journal   (Followers: 1)
Mathematische Nachrichten     Hybrid Journal   (Followers: 1)
Mathematische Semesterberichte     Hybrid Journal  
Mathematische Zeitschrift     Hybrid Journal   (Followers: 1)
MATI : Mathematical Aspects of Topological Indeces     Open Access  
MATICS     Open Access   (Followers: 2)
Matrix Science Mathematic     Open Access   (Followers: 1)
Measurement Science Review     Open Access   (Followers: 3)
Mediterranean Journal of Mathematics     Hybrid Journal  
Memetic Computing     Hybrid Journal  
Mendel : Soft Computing Journal     Open Access  
Metaheuristics     Hybrid Journal  
Metals and Materials International     Hybrid Journal  
Metascience     Hybrid Journal   (Followers: 1)
Milan Journal of Mathematics     Hybrid Journal  
Mitteilungen der DMV     Hybrid Journal  
MLQ- Mathematical Logic Quarterly     Hybrid Journal  
Monatshefte fur Mathematik     Hybrid Journal  
Moroccan Journal of Pure and Applied Analysis     Open Access   (Followers: 4)
Moscow University Mathematics Bulletin     Hybrid Journal  
MSOR Connections     Open Access   (Followers: 1)
Multiscale Modeling and Simulation     Hybrid Journal   (Followers: 3)
MUST : Journal of Mathematics Education, Science and Technology     Open Access   (Followers: 1)
Nagoya Mathematical Journal     Hybrid Journal  
Nano Research     Hybrid Journal   (Followers: 3)
Nanotechnologies in Russia     Hybrid Journal   (Followers: 1)
Natural Resource Modeling     Hybrid Journal  
New Mathematics and Natural Computation     Hybrid Journal  
Nonlinear Analysis : Modelling and Control     Open Access   (Followers: 1)
Nonlinear Analysis : Theory, Methods & Applications     Hybrid Journal   (Followers: 1)
Nonlinear Analysis: Hybrid Systems     Hybrid Journal  
Nonlinear Analysis: Real World Applications     Hybrid Journal   (Followers: 2)
Nonlinear Differential Equations and Applications NoDEA     Hybrid Journal  
Nonlinear Engineering     Open Access  
Nonlinear Oscillations     Hybrid Journal   (Followers: 1)
North Carolina Journal of Mathematics and Statistics     Open Access  
North-Holland Mathematical Library     Full-text available via subscription   (Followers: 1)
North-Holland Mathematics Studies     Full-text available via subscription  
North-Holland Series in Applied Mathematics and Mechanics     Full-text available via subscription   (Followers: 1)
Note di Matematica     Open Access  
NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin     Hybrid Journal   (Followers: 4)
Numeracy : Advancing Education in Quantitative Literacy     Open Access  
Numerical Analysis and Applications     Hybrid Journal   (Followers: 1)
Numerical Functional Analysis and Optimization     Hybrid Journal   (Followers: 2)

  First | 1 2 3 4     

Similar Journals
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Journal of Pure and Applied Algebra
Journal Prestige (SJR): 1.269
Citation Impact (citeScore): 1
Number of Followers: 4  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0022-4049 - ISSN (Online) 0022-4049
Published by Elsevier Homepage  [3203 journals]
  • Third kind elliptic integrals and 1-motives
    • Abstract: Publication date: Available online 3 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Cristiana Bertolin
       
  • Remarks on projective normality for certain Calabi–Yau and
           hyperkähler varieties
    • Abstract: Publication date: Available online 3 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Jayan Mukherjee, Debaditya Raychaudhury
       
  • Pure resolutions, linear codes, and Betti numbers
    • Abstract: Publication date: Available online 3 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Sudhir R. Ghorpade, Prasant Singh
       
  • Restriction and extension of partial actions
    • Abstract: Publication date: Available online 3 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Dirceu Bagio, Antonio Paques, Héctor Pinedo
       
  • Norm coherence for descent of level structures on formal deformations
    • Abstract: Publication date: Available online 2 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Yifei Zhu
       
  • On the Prym map for cyclic covers of genus two curves
    • Abstract: Publication date: Available online 2 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Daniele Agostini
       
  • Loewy lengths of centers of blocks and exponents of defect groups
    • Abstract: Publication date: Available online 2 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Yoshihiro Otokita
       
  • Generators of Koszul homology with coefficients in a J-closed
           module
    • Abstract: Publication date: Available online 2 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Rachel N. Diethorn
       
  • Tensor topology
    • Abstract: Publication date: Available online 1 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Pau Enrique Moliner, Chris Heunen, Sean Tull
       
  • Quantum Borcherds-Bozec algebras and their integrable representations
    • Abstract: Publication date: Available online 1 April 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Seok-Jin Kang, Young Rock Kim
       
  • Brown's Criterion and classifying spaces for families
    • Abstract: Publication date: Available online 31 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Eduardo Martinez-Pedroza, Luis Jorge Sánchez Saldaña
       
  • Facets of congruence distributivity in Goursat categories
    • Abstract: Publication date: Available online 31 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Marino Gran, Diana Rodelo, Idriss Tchoffo Nguefeu
       
  • Numerical root finding via Cox rings
    • Abstract: Publication date: Available online 23 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Simon Telen
       
  • Higher Lawvere theories
    • Abstract: Publication date: Available online 12 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): John D. Berman
       
  • Fraction, Restriction, and Range Categories From Stable Systems of
           Morphisms
    • Abstract: Publication date: Available online 12 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): S.N. Hosseini, A.R. Shir Ali Nasab, W. Tholen
       
  • On the inertia conjecture for alternating group covers
    • Abstract: Publication date: Available online 12 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Soumyadip Das, Manish Kumar
       
  • Exponent of a finite group admitting a coprime automorphism
    • Abstract: Publication date: Available online 5 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Sara Rodrigues, Pavel Shumyatsky
       
  • Locally nilpotent skew extensions of rings
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Piotr Grzeszczuk
       
  • Two-term relative cluster tilting subcategories, τ-tilting modules and
           silting subcategories
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Panyue Zhou, Bin Zhu
       
  • On the hom-associative Weyl algebras
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Per Bäck, Johan Richter
       
  • Tilting modules and cellular categories
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Henning Haahr Andersen
       
  • Unique Decomposition into Ideals for Commutative Noetherian Rings
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Lee Klingler, Akeel Omairi
       
  • The graded structure of algebraic Cuntz-Pimsner rings
    • Abstract: Publication date: Available online 4 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Daniel Lännström
       
  • F 11 &rft.title=Journal+of+Pure+and+Applied+Algebra&rft.issn=0022-4049&rft.date=&rft.volume=">Automorphism groups of superspecial curves of genus 4 over F 11
    • Abstract: Publication date: Available online 2 March 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Momonari Kudo, Shushi Harashita, Hayato Senda
       
  • The symmetric tensor product on the Drinfeld centre of a symmetric fusion
           category
    • Abstract: Publication date: Available online 24 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Thomas A. Wasserman
       
  • Canonical bases for tensor products and super Kazhdan-Lusztig theory
    • Abstract: Publication date: Available online 24 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Huanchen Bao, Weiqiang Wang, Hideya Watanabe
       
  • k -configurations+in+ P n &rft.title=Journal+of+Pure+and+Applied+Algebra&rft.issn=0022-4049&rft.date=&rft.volume=">The WaldSchmidt constant of special k -configurations in P n
    • Abstract: Publication date: Available online 17 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Maria Virginia Catalisano, Elena Guardo, Yong-Su Shin We find the Waldschmidt constant of special configurations, such as star configurations in Pn and standard k-configurations in P2 of type (1,2,…,s) with 3≤s≤6. We also find the resurgence for those configurations as an application.
       
  • Indecomposable Ideals of Finitary Incidence Algebras
    • Abstract: Publication date: Available online 17 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Manfred Dugas, Daniel Herden, Jack Rebrovich R. D. Sorkin showed in [8] how to recover a finite poset (P,≤) by algebraic means from its incidence algebra I(P). We generalize this result to finitary incidence algebras FI(P) and arbitrary posets (P,≤).
       
  • Generators and relations of “lower-triangular” automorphism
           groups of free groups
    • Abstract: Publication date: Available online 13 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Takao Satoh We consider a certain subgroup An+ of the automorphism group of a free group of rank n. It can be regarded as a free group analogue of the group Λn of integral lower-triangular matrices. We call An+ the lower-triangular automorphism group of a free group. The first aim of the paper is to give a finite presentation for An+.The abelianization of the free group induces the surjective homomorphism ρ+ from An+ to Λn. In our previous paper [19], we introduced the lower-triangular IA-automorphism group IAn+. Here we show that IAn+ coincides with the kernel of ρ+. The second aim of the paper is to give an infinite presentation for IAn+.Finally, we study a relation of the second homology groups between An+ and Λn. In particular, we compute the second homology group H2(Λn,L) by using Magnus's presentation where L is a principal ideal domain in which 2 is invertible. For example, L=Q,Z/pZ for prime p≥3. This gives a lower bound on the integral second homology group of An+.
       
  • Representation type of the little q-Schur algebras
    • Abstract: Publication date: Available online 13 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): ZhiHao Bian, Mingqiang Liu The classification of little q-Schur algebras of finite representation type at the odd roots of unity case was given in [15]. In this paper, we give the complete classification of representation type of little q-Schur algebras in the any roots of unity case.
       
  • Groups with few p′-character degrees
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Eugenio Giannelli, Noelia Rizo, A.A. Schaeffer Fry We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group G contains only two distinct values not divisible by a given prime number p>3, then Opp′pp′(G)=1. This is done by using the classification of finite simple groups.
       
  • The algebraic and geometric classification of nilpotent anticommutative
           algebras
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism classes. The corresponding geometric variety is irreducible and determined by the Zariski closure of a one-parameter family of algebras. In particular, there are no rigid 6-dimensional complex nilpotent anticommutative algebras.
       
  • Homological dimension formulas for trivial extension algebras
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Hiroyuki Minamoto, Kota Yamaura This paper is the first one of a series of papers in which we study a finitely graded Iwanaga-Gorenstein (IG) algebras A=⨁i=0ℓAi and their representation theory. Every finitely graded algebra is graded Morita equivalent to a trivial extension algebra A=Λ⊕C with the grading deg⁡Λ=0,deg⁡C=1. Hence, in principle, representation theoretic study of finitely graded algebras is reduced to that of trivial extension algebras. The main result of this paper is a necessary and sufficient condition that a trivial extension algebra A=Λ⊕C to be an IG-algebra. We also give a description of the kernel Ker ϖ of a canonical functor ϖ:Db(modΛ)→SingZA. These results play important roles in the subsequent works.To this end, we study complexes of graded projective (injective) A-modules and establish formulas for the projective (injective) dimension of a graded A-modules in terms of Λ and C. As a byproducts, we obtain a modern expression of the classical formula for the global dimension of a trivial extension algebra by Palmer-Roos and Löfwall that is written in complicated classical derived functors.
       
  • A class of digraph groups defined by balanced presentations
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Johannes Cuno, Gerald Williams We consider groups defined by non-empty balanced presentations with the property that each relator is of the form R(x,y), where x and y are distinct generators and Image 1 is determined by some fixed cyclically reduced word R(a,b) that involves both a and b. To every such presentation we associate a directed graph whose vertices correspond to the generators and whose arcs correspond to the relators. Under the hypothesis that the girth of the underlying undirected graph is at least 4, we show that the resulting groups are non-trivial and cannot be finite of rank 3 or higher. Without the hypothesis on the girth it is well known that both the trivial group and finite groups of rank 3 can arise.
       
  • Fabric idempotents and higher Auslander-Reiten theory
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Jordan McMahon Over a finite-dimensonal algbera A, simple A-modules that have projective dimension one have special properties. For example, Geigle-Lenzing studied them in connection to homological epimorphisms of rings and they have also appeared in work concerning the finitistic dimension conjecture. If we however work in a d-cluster-tilting subcategory, then not all simples are contained in the subcategory. In this context, a replacement might be to work with idempotents instead, and utilise the theory of Auslander-Platzeck-Todorov. We introduce the notion of a fabric idempotent as an analogue of the localisable objects studied by Chen-Krause, and show that they provide rich combinatorial properties to illustrate the theory. In particular, we use fabric idempotents to extend the classification of singularity categories of Nakayama algebras by Chen-Ye to higher Nakayama algebras.
       
  • Notes on diagonals of the product and symmetric variety of a surface
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Luca Scala Let X be a smooth quasi-projective algebraic surface and let Δn the big diagonal in the product variety Xn. We study cohomological properties of the ideal sheaves IΔnk and their invariants (IΔnk)Sn by the symmetric group, seen as ideal sheaves over the symmetric variety SnX. In particular we obtain resolutions of the sheaves of invariants (IΔn)Sn for n=3,4 in terms of invariants of sheaves over Xn whose cohomology is easy to calculate. Moreover, we relate, via the Bridgeland-King-Reid equivalence, powers of determinant line bundles over the Hilbert scheme to powers of ideals of the big diagonal Δn. We deduce applications to the cohomology of double powers of determinant line bundles over the Hilbert scheme with 3 and 4 points and we give universal formulas for their Euler-Poincaré characteristic. Finally, we obtain upper bounds for the regularity of the sheaves IΔnk over Xn with respect to very ample line bundles of the form L⊠⋯⊠L and of their sheaves of invariants (IΔnk)Sn on the symmetric variety SnX with respect to very ample line bundles of the form DL.
       
  • The algebraic matroid of the finite unit norm tight frame (funtf) variety
    • Abstract: Publication date: Available online 11 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Daniel Irving Bernstein, Cameron Farnsworth, Jose Israel Rodriguez A finite unit norm tight frame is a collection of r vectors in Rn that generalizes the notion of orthonormal bases. The affine finite unit norm tight frame variety is the Zariski closure of the set of finite unit norm tight frames. Determining the fiber of a projection of this variety onto a set of coordinates is called the algebraic finite unit norm tight frame completion problem. Our techniques involve the algebraic matroid of an algebraic variety, which encodes the dimensions of fibers of coordinate projections. This work characterizes the bases of the algebraic matroid underlying the variety of finite unit norm tight frames in R3. Partial results towards similar characterizations for finite unit norm tight frames in Rn with n≥4 are also given. We provide a method to bound the degree of the projections based off of combinatorial data.
       
  • Artin glueings of frames as semidirect products
    • Abstract: Publication date: Available online 10 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Peter F. Faul, Graham R. Manuell Artin glueings provide a way to reconstruct a frame from a closed sublocale and its open complement. We show that Artin glueings can be described as the weakly Schreier split extensions in the category of frames with finite-meet preserving maps. These extensions correspond to meet-semilattice homomorphisms between frames, yielding an extension bifunctor. Finally, we discuss Baer sums, the induced order structure on extensions and the failure of the split short five lemma.
       
  • An explicit matrix factorization of cubic hypersurfaces of small dimension
    • Abstract: Publication date: Available online 10 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Yeongrak Kim, Frank-Olaf Schreyer In this paper, we compute an explicit matrix factorization of a rank 9 Ulrich sheaf on a general cubic hypersurface of dimension at most 7, whose existence was proved by Manivel. Instead of using invariant theory, we use Shamash's construction with a cone over the spinor variety. We also describe an algebro-geometric interpretation of our matrix factorization which connects the spinor tenfold and the Cartan cubic.
       
  • Gevrey and formal Nilsson solutions of A-hypergeometric systems
    • Abstract: Publication date: Available online 10 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): María-Cruz Fernández-Fernández We prove that the space of Gevrey solutions of an A–hypergeometric system along a coordinate subspace is contained in a space of formal Nilsson solutions. Moreover, under some additional condition, both spaces are equal. In the process we prove some other results about formal Nilsson solutions.
       
  • P 2 &rft.title=Journal+of+Pure+and+Applied+Algebra&rft.issn=0022-4049&rft.date=&rft.volume=">Rationality of Seshadri constants on general blow ups of P 2
    • Abstract: Publication date: Available online 10 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Łucja Farnik, Krishna Hanumanthu, Jack Huizenga, David Schmitz, Tomasz Szemberg Let X be a projective surface and let L be an ample line bundle on X. The global Seshadri constant ε(L) of L is defined as the infimum of Seshadri constants ε(L,x) as x∈X varies. It is an interesting question to ask if ε(L) is a rational number for any pair (X,L). We study this question when X is a blow up of P2 at r≥0 very general points and L is an ample line bundle on X. For each r we define a submaximality threshold which governs the rationality or irrationality of ε(L). We state a conjecture which strengthens the SHGH Conjecture and assuming that this conjecture is true we determine the submaximality threshold.
       
  • On the K-theoretic fundamental class of Deligne–Lusztig
           varieties
    • Abstract: Publication date: Available online 10 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Thomas Hudson, Dennis Peters In this paper we express the class of the structure sheaves of the closures of Deligne–Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of appropriate line bundles on the ambient flag variety. This is achieved by viewing such closures as degeneracy loci of morphisms of vector bundles.
       
  • The transcendental motive of a cubic fourfold
    • Abstract: Publication date: Available online 7 February 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Michele Bolognesi, Claudio Pedrini In this note we introduce the transcendental part t(X) of the motive of a cubic fourfold X and prove that it is isomorphic to the (twisted) transcendental part h2tr(F(X)) in a suitable Chow-Künneth decomposition for the motive of the Fano variety of lines F(X). Then we prove that t(X) is isomorphic to the Prym motive associated to the surface Sl⊂F(X) of lines meeting a general line l. If X is very general (non special), then we prove that t(X) can not be isomorphic to t2(S) for any smooth projective surface, where t2(S) is the transcendental motive. We relate the existence of an isomorphism t(X)≃t2(S)(1), with S a K3 surface, to conjectures by Hassett and Kuznetsov on the rationality of a special cubic fourfold. Finally we consider the case of cubic fourfolds X admitting a certain projective involoution, and prove for this specific class the isomorphism t2(S)(1)≃t(X), with S a K3 surface.
       
  • On a paper of Beltrán and Shao about coprime action
    • Abstract: Publication date: Available online 21 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): H. Meng, A. Ballester-Bolinches Assume that A and G are finite groups of coprime orders such that A acts on G via automorphisms. Let p be a prime. The following coprime action version of a well-known theorem of Itô about the structure of a minimal non-p-nilpotent groups is proved: if every maximal A-invariant subgroup of G is p-nilpotent, then G is p-soluble. If, moreover, G is not p-nilpotent, then G must be soluble. Some earlier results about coprime action are consequences of this theorem.
       
  • L-algebras with duality and the structure group of a set-theoretic
           solution to the Yang-Baxter equation
    • Abstract: Publication date: Available online 11 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Wolfgang Rump The structure group GX of a non-degenerate involutive set-theoretic solution X to the Yang-Baxter equation was introduced by Etingof et al. (Duke Math. J., 1999). We prove that GX coincides with the structure group of an L-algebra, a quantum structure that arises, e. g., in the context of Artin groups and operator algebras. The connection unifies the concept of structure group and exhibits new operations associated to set-theoretic solutions X.
       
  • Regularity of Symbolic Powers of Edge Ideals
    • Abstract: Publication date: Available online 10 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): A.V. Jayanthan, Rajiv Kumar In this article, we prove that for several classes of graphs, the Castelnuovo-Mumford regularity of symbolic powers of their edge ideals coincide with that of their ordinary powers.
       
  • When is the frame of nuclei spatial: A new approach
    • Abstract: Publication date: Available online 9 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): F. Ávila, G. Bezhanishvili, P.J. Morandi, A. Zaldívar For a frame L, let XL be the Esakia space of L. We identify a special subset YL of XL consisting of nuclear points of XL, and prove the following results:•L is spatial iff YL is dense in XL.•If L is spatial, then N(L) is spatial iff YL is weakly scattered.•If L is spatial, then N(L) is boolean iff YL is scattered. As a consequence, we derive the well-known results of Beazer and Macnab [1], Simmons [22], Niefield and Rosenthal [13], and Isbell [10].
       
  • Lower central and derived series of semi-direct products, and applications
           to surface braid groups
    • Abstract: Publication date: Available online 8 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): John Guaschi, Carolina de Miranda e Pereiro For an arbitrary semi-direct product, we give a general description of its lower central series and an estimation of its derived series. In the second part of the paper, we study these series for the full braid group Bn(M) and pure braid group Pn(M) of a compact surface M, orientable or non-orientable, the aim being to determine the values of n for which Bn(M) and Pn(M) are residually nilpotent or residually soluble. We first solve this problem in the case where M is the 2-torus. We then use the results of the first part of the paper to calculate explicitly the lower central series of Pn(K), where K is the Klein bottle. Finally, if M is a non-orientable, compact surface without boundary, we determine the values of n for which Bn(M) is residually nilpotent or residually soluble in the cases that were not already known in the literature.
       
  • Maximal Cohen–Macaulay modules that are not locally free on the
           punctured spectrum
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Toshinori Kobayashi, Justin Lyle, Ryo Takahashi We say that a Cohen–Macaulay local ring has finite CM+-representation type if there exist only finitely many isomorphism classes of indecomposable maximal Cohen–Macaulay modules that are not locally free on the punctured spectrum. In this paper, we consider finite CM+-representation type from various points of view, relating it with several conjectures on finite/countable Cohen–Macaulay representation type. We prove in dimension one that the Gorenstein local rings of finite CM+-representation type are exactly the local hypersurfaces of countable CM-representation type, that is, the hypersurfaces of type (A∞) and (D∞). We also discuss the closedness and dimension of the singular locus of a Cohen–Macaulay local ring of finite CM+-representation type.
       
  • On the Hurwitz action in affine Coxeter groups
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Patrick Wegener We call an element of a Coxeter group a parabolic quasi-Coxeter element if it has a reduced decomposition into a product of reflections that generate a parabolic subgroup. We show that for a parabolic quasi-Coxeter element in an affine Coxeter group the Hurwitz action on its set of reduced decompositions into a product of reflections is transitive.
       
  • Representations of relative Cohn path algebras
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Cristóbal Gil Canto, Daniel Gonçalves We study relative Cohn path algebras, also known as Leavitt-Cohn path algebras, and we realize them as partial skew group rings. To do this we prove uniqueness theorems for relative Cohn path algebras. Furthermore, given any graph E we define E-relative branching systems and prove how they induce representations of the associated relative Cohn path algebra. We give necessary and sufficient conditions for faithfulness of the representations associated to E-relative branching systems. This improves previous results known to Leavitt path algebras of row-finite graphs with no sinks. To prove this last result we show first a version, for relative Cohn-path algebras, of the reduction theorem for Leavitt path algebras.
       
  • Three infinite families of reflection Hopf algebras
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Luigi Ferraro, Ellen Kirkman, W. Frank Moore, Robert Won Let H be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra A, homogeneously, inner-faithfully, preserving the grading on A, and so that A is an H-module algebra. When the fixed subring AH is also AS regular, thus providing a generalization of the Chevalley-Shephard-Todd Theorem, we say that H is a reflection Hopf algebra for A. We show that each of the semisimple Hopf algebras H2n2 of Pansera, and A4m and B4m of Masuoka is a reflection Hopf algebra for an AS regular algebra of dimension 2 or 3.
       
  • Injective spectra and torsion theories
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Harry Gulliver This is the second of two papers on the injective spectrum of a right noetherian ring. In [4], we defined the injective spectrum as a topological space associated to a ring (or, more generally, a Grothendieck category), which generalises the Zariski spectrum. We established some results about the topology and its links with Krull dimension, and computed a number of examples.In the present paper, which can largely be read independently of the first, we extend these results by defining a sheaf of rings on the injective spectrum and considering sheaves of modules over this structure sheaf and their relation to modules over the original ring. We then explore links with the spectrum of prime torsion theories developed by Golan [2] and use this torsion-theoretic viewpoint to prove further results about the topology.
       
  • Milnor-Witt cycle modules
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Niels Feld We generalize Rost's theory of cycle modules [20] using the Milnor-Witt K-theory instead of the classical Milnor K-theory. We obtain a (quadratic) setting to study general cycle complexes and their (co)homology groups. The standard constructions are developed: proper pushfoward, (essentially) smooth pullback, long exact sequences, spectral sequences and products, as well as the homotopy invariance property; in addition, Gysin morphisms for lci morphisms are constructed. We prove an adjunction theorem linking our theory to Rost's. This work extends Schmid's thesis [22].
       
  • The weak Lefschetz property for Artinian Gorenstein algebras of
           codimension three
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Rosa M. Miró-Roig, Quang Hoa Tran We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Apéry set of a numerical semigroup generated by four natural numbers. We show that these algebras have the weak Lefschetz property whenever the initial degree of their defining ideal is small.
       
  • On the semiprimitivity of free skew extensions of rings
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Jeffrey Bergen, Piotr Grzeszczuk Let X be a set of noncommuting variables, and G={σx}x∈X, D={δx}x∈X be sequences of automorphisms and skew derivations of a ring R. It is proved that if the ring R is semiprime Goldie, then the free skew extension R[X;G,D] is semiprimitive.
       
  • Normally ordered forms of powers of differential operators and their
           combinatorics
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Emmanuel Briand, Samuel A. Lopes, Mercedes Rosas We investigate the combinatorics of the general formulas for the powers of the operator h∂d, where ∂ is a differential operator on an arbitrary noncommutative ring in which h is central. New formulas for the generalized Stirling numbers are obtained, as well as results on the divisibility by primes of the coefficients which occur in the normally ordered form of h∂d. All of the above applies to the theory of formal differential operator rings.
       
  • Deformation of Bott–Samelson varieties and variations of isotropy
           structures
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Gianluca Occhetta, Luis E. Solá Conde In the framework of the problem of characterizing complete flag manifolds by their contractions, the complete flags of type F4 and G2 satisfy the property that any possible tower of Bott–Samelson varieties dominating them birationally deforms in a nontrivial moduli. In this paper we illustrate the fact that, at least in some cases, these deformations can be explained in terms of automorphisms of Schubert varieties, providing variations of certain isotropic structures on them. As a corollary, we provide a unified and completely algebraic proof of the characterization of complete flag manifolds in terms of their contractions.
       
  • A topological equivalence relation for finitely presented groups
    • Abstract: Publication date: Available online 7 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): M. Cárdenas, F.F. Lasheras, A. Quintero, R. Roy In this paper, we consider an equivalence relation within the class of finitely presented discrete groups attending to their asymptotic topology rather than their asymptotic geometry. More precisely, we say that two finitely presented groups G and H are “proper 2-equivalent” if there exist (equivalently, for all) finite 2-dimensional CW-complexes X and Y, with π1(X)≅G and π1(Y)≅H, so that their universal covers X˜ and Y˜ are proper 2-equivalent. It follows that this relation is coarser than the quasi-isometry relation. We point out that finitely presented groups which are 1-ended and semistable at infinity are classified, up to proper 2-equivalence, by their fundamental pro-group, and we study the behaviour of this relation with respect to some of the main constructions in combinatorial group theory. A (finer) similar equivalence relation may also be considered for groups of type Fn,n≥3, which captures more of the large-scale topology of the group. Finally, we pay special attention to the class of those groups G which admit a finite 2-dimensional CW-complex X with π1(X)≅G and whose universal cover X˜ has the proper homotopy type of a 3-manifold. We show that if such a group G is 1-ended and semistable at infinity then it is proper 2-equivalent to either Z×Z×Z, Z×Z or F2×Z (here, F2 is the free group on two generators). As it turns out, this applies in particular to any group G fitting as the middle term of a short exact sequence of infinite finitely presented groups, thus classifying such group extensions up to proper 2-equivalence.
       
  • Corrigendum to “Calabi–Yau threefolds with small Hodge numbers
           associated with a one-parameter family of polynomials” [J. Pure Appl.
           Algebra 223 (3) (2019) 1198–1209]
    • Abstract: Publication date: Available online 6 January 2020Source: Journal of Pure and Applied AlgebraAuthor(s): Juan García Escudero We make a correction to the Euler number of a quintic threefold considered in the paper Calabi–Yau threefolds with small Hodge numbers associated with a one-parameter family of polynomials and compute the Hodge numbers.
       
  • Biquaternion division algebras over rational function fields
    • Abstract: Publication date: Available online 12 December 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Karim Johannes Becher Let E be a field of characteristic different from 2 which is the centre of a quaternion division algebra and which is not euclidean. Then there exists a biquaternion division algebra over the rational function field E(t) which does not contain any quaternion algebra defined over E. The proof is based on the study of Bezoutian forms developed in [1].
       
  • Equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras
    • Abstract: Publication date: Available online 9 December 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Meng-Kiat Chuah, Rita Fioresi We study the equal rank real forms of affine non-twisted Kac-Moody Lie superalgebras by Cartan automorphisms and Vogan diagrams. We introduce admissible positive root systems and Hermitian real forms, then show that a real form has admissible positive root system if and only if it is Hermitian. As a result, we use the Vogan diagrams to classify the Hermitian real forms.
       
  • On the index of an algebraic integer and beyond
    • Abstract: Publication date: Available online 6 December 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Anuj Jakhar, Sudesh K. Khanduja Let K=Q(θ) be an algebraic number field with θ in the ring AK of algebraic integers of K having minimal polynomial f(x) over Q. For a prime number p, let ip(f) denote the highest power of p dividing the index [AK:Z[θ]]. Let f¯(x)=ϕ¯1(x)e1⋯ϕ¯r(x)er be the factorization of f(x) modulo p into a product of powers of distinct irreducible polynomials over Z/pZ with ϕi(x)∈Z[x] monic. Let the integer l≥1 and the polynomial N(x)∈Z[x] be defined by f(x)=∏i=1rϕi(x)ei+plN(x),N‾(x)≠0¯. In this paper, we prove that ip(f)≥∑i=1ruideg⁡ϕi(x), where
       
  • Computing minimal Gorenstein covers
    • Abstract: Publication date: Available online 4 December 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Juan Elias, Roser Homs, Bernard Mourrain We analyze and present an effective solution to the minimal Gorenstein cover problem: given a local Artin k-algebra A=k〚x1,…,xn〛/I, compute an Artin Gorenstein k-algebra G=k〚x1,…,xn〛/J such that ℓ(G)−ℓ(A) is minimal. We approach the problem by using Macaulay's inverse systems and a modification of the integration method for inverse systems to compute Gorenstein covers. We propose new characterizations of the minimal Gorenstein cover and present a new algorithm for the effective computation of the variety of all minimal Gorenstein covers of A for low Gorenstein colength. Experimentation illustrates the practical behavior of the method.
       
  • Some results about complete and analytic local rings
    • Abstract: Publication date: Available online 2 December 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Sagnik Chakraborty, Rajendra V. Gurjar, Dibyendu Mondal In this paper, we prove some results about inclusions of complete (or analytic) local rings. The main result says that if A⊆B are equicharacteristic zero complete (or analytic) local domains with the same uncountable residue field, such that the map Spec B→Spec A is surjective, then the integral closure of A in B is a finite A-module. In particular, if A⊆B is a pure extension of complete (or analytic) local domains, then the integral closure of A in B is a finite A-module.
       
  • Graded cellular basis and Jucys-Murphy elements for generalized blob
           algebras
    • Abstract: Publication date: Available online 30 November 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Diego Lobos Maturana, Steen Ryom-Hansen We give a concrete construction of a graded cellular basis for the generalized blob algebra Bn introduced by Martin and Woodcock. The construction uses the isomorphism between KLR-algebras and cyclotomic Hecke algebras, proved by Brundan-Kleshchev and Rouquier. It gives rise to a family of Jucys-Murphy elements for Bn.
       
  • Normality of DSER elementary orthogonal group
    • Abstract: Publication date: Available online 29 November 2019Source: Journal of Pure and Applied AlgebraAuthor(s): A.A. Ambily, Ravi A. Rao We consider the Dickson–Siegel–Eichler–Roy's (DSER) subgroup of the orthogonal group OR(Q⊥H(R)m) of a quadratic space with a hyperbolic summand over a commutative ring in which 2 is invertible, rankQ=n≥1 and m≥1. We show that it is a normal subgroup of the orthogonal group OR(Q⊥H(R)m), for m≠2. In particular, when Q≅H(R)r for r≥1 and m≥2, the DSER elementary orthogonal group EOR(Q,H(R)m) coincides with the usual elementary orthogonal group EO2(r+m)(R) and it is a normal subgroup in OR(H(R)r+m). We also prove that the DSER elementary orthogonal group EOR(Q,H(P)) is a normal subgroup of OR(Q⊥H(P)), where Q is a quadratic space and H(P) is the hyperbolic space of the finitely generated projective module over a commutative ring R, with P a finitely generated projective module with rank(P)≥2 and rank(Q)≥1.
       
  • Intersection multiplicity of a sparse curve and a low-degree curve
    • Abstract: Publication date: Available online 28 November 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Pascal Koiran, Mateusz Skomra Let F(x,y)∈C[x,y] be a polynomial of degree d and let G(x,y)∈C[x,y] be a polynomial with t monomials. We want to estimate the maximal multiplicity of a solution of the system F(x,y)=G(x,y)=0. Our main result is that the multiplicity of any isolated solution (a,b)∈C2 with nonzero coordinates is no greater than 52d2t2. We ask whether this intersection multiplicity can be polynomially bounded in the number of monomials of F and G, and we briefly review some connections between sparse polynomials and algebraic complexity theory.
       
  • Clean group rings over localizations of rings of integers
    • Abstract: Publication date: Available online 28 November 2019Source: Journal of Pure and Applied AlgebraAuthor(s): Yuanlin Li, Qinghai Zhong A ring R is said to be clean if each element of R can be written as the sum of a unit and an idempotent. In a recent article (J. Algebra, 405 (2014), 168-178), Immormino and McGoven characterized when the group ring Z(p)[Cn] is clean, where Z(p) is the localization of the integers at the prime p. In this paper, we consider a more general setting. Let K be an algebraic number field, OK be its ring of integers, and R be a localization of OK at some prime ideal. We investigate when R[G] is clean, where G is a finite abelian group, and obtain a complete characterization for such a group ring to be clean for the case when K=Q(ζn) is a cyclotomic field or K=Q(d) is a quadratic field.
       
 
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