Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
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    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
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    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)            First | 1 2 3 4 | Last

Showing 201 - 400 of 538 Journals sorted alphabetically
Educação Matemática Debate     Open Access  
Edumatica : Jurnal Pendidikan Matematika     Open Access  
EduMatSains     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 3)
Em Teia : Revista de Educação Matemática e Tecnológica Iberoamericana     Open Access  
Emergent Scientist     Open Access  
Energy for Sustainable Development     Hybrid Journal   (Followers: 13)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Open Access   (Followers: 2)
Euclid     Open Access  
European Journal of Applied Mathematics     Hybrid Journal  
European Journal of Combinatorics     Full-text available via subscription   (Followers: 3)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 1)
Examples and Counterexamples     Open Access  
Experimental Mathematics     Hybrid Journal   (Followers: 5)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Extracta Mathematicae     Open Access  
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 5)
Fixed Point Theory and Applications     Open Access  
Formalized Mathematics     Open Access  
Forum of Mathematics, Pi     Open Access   (Followers: 1)
Forum of Mathematics, Sigma     Open Access   (Followers: 1)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 6)
Foundations and Trends® in Networking     Full-text available via subscription   (Followers: 1)
Foundations and Trends® in Stochastic Systems     Full-text available via subscription   (Followers: 1)
Foundations and Trends® in Theoretical Computer Science     Full-text available via subscription   (Followers: 1)
Foundations of Computational Mathematics     Hybrid Journal  
Fractal and Fractional     Open Access  
Fractals     Hybrid Journal   (Followers: 1)
Frontiers of Mathematics in China     Hybrid Journal  
Fuel Cells Bulletin     Full-text available via subscription   (Followers: 9)
Functional Analysis and Other Mathematics     Hybrid Journal   (Followers: 4)
Fundamental Journal of Mathematics and Applications     Open Access  
Funktsional'nyi Analiz i ego Prilozheniya     Full-text available via subscription  
Fuzzy Optimization and Decision Making     Hybrid Journal   (Followers: 8)
Game Theory     Open Access   (Followers: 2)
Games     Open Access   (Followers: 4)
Games and Economic Behavior     Hybrid Journal   (Followers: 25)
Gamm - Mitteilungen     Hybrid Journal  
GANIT : Journal of Bangladesh Mathematical Society     Open Access  
GEM - International Journal on Geomathematics     Hybrid Journal   (Followers: 1)
General Mathematics     Open Access  
Glasgow Mathematical Journal     Full-text available via subscription  
Global Journal of Mathematical Sciences     Full-text available via subscription  
Graphs and Combinatorics     Hybrid Journal   (Followers: 4)
Grey Systems : Theory and Application     Hybrid Journal  
Groups, Complexity, Cryptology     Open Access   (Followers: 2)
GSTF Journal of Mathematics, Statistics and Operations Research     Open Access   (Followers: 1)
Historia Mathematica     Full-text available via subscription  
Historical Methods: A Journal of Quantitative and Interdisciplinary History     Hybrid Journal   (Followers: 28)
IMA Journal of Applied Mathematics     Hybrid Journal  
IMA Journal of Numerical Analysis - advance access     Hybrid Journal  
ImmunoInformatics     Open Access   (Followers: 1)
Indagationes Mathematicae     Open Access  
Indian Journal of Pure and Applied Mathematics     Hybrid Journal   (Followers: 4)
Indonesian Journal of Combinatorics     Open Access  
Indonesian Journal of Science and Mathematics Education     Open Access   (Followers: 1)
Infinite Dimensional Analysis, Quantum Probability and Related Topics     Hybrid Journal   (Followers: 1)
Infinity Jurnal Matematika dan Aplikasinya     Open Access   (Followers: 3)
Information and Inference     Free  
InfoTekJar : Jurnal Nasional Informatika dan Teknologi Jaringan     Open Access  
InfraMatics     Open Access  
Insight - Non-Destructive Testing and Condition Monitoring     Full-text available via subscription   (Followers: 110)
International Electronic Journal of Algebra     Open Access  
International Journal for Numerical Methods in Engineering     Hybrid Journal   (Followers: 35)
International Journal for Numerical Methods in Fluids     Hybrid Journal   (Followers: 19)
International Journal of Advanced Mathematical Sciences     Open Access  
International Journal of Advanced Mechatronic Systems     Hybrid Journal   (Followers: 2)
International Journal of Advanced Research in Mathematics     Open Access  
International Journal of Advances in Engineering Sciences and Applied Mathematics     Hybrid Journal   (Followers: 10)
International Journal of Algebra and Computation     Hybrid Journal   (Followers: 1)
International Journal of Algebra and Statistics     Open Access   (Followers: 3)
International Journal of Applied and Computational Mathematics     Hybrid Journal  
International Journal of Applied Mathematical Research     Open Access   (Followers: 1)
International Journal of Applied Mathematics and Computer Science     Open Access   (Followers: 7)
International Journal of Applied Mechanics     Hybrid Journal   (Followers: 8)
International Journal of Applied Nonlinear Science     Hybrid Journal  
International Journal of Autonomic Computing     Hybrid Journal   (Followers: 1)
International Journal of Bifurcation and Chaos     Hybrid Journal   (Followers: 4)
International Journal of Biomathematics     Hybrid Journal   (Followers: 2)
International Journal of Computational Complexity and Intelligent Algorithms     Hybrid Journal  
International Journal of Computational Economics and Econometrics     Hybrid Journal   (Followers: 6)
International Journal of Computational Geometry and Applications     Hybrid Journal   (Followers: 2)
International Journal of Computational Intelligence and Applications     Hybrid Journal   (Followers: 2)
International Journal of Computational Methods     Hybrid Journal   (Followers: 4)
International Journal of Computer Processing Of Languages     Hybrid Journal   (Followers: 1)
International Journal of Control, Automation and Systems     Hybrid Journal   (Followers: 15)
International Journal of Dynamical Systems and Differential Equations     Hybrid Journal   (Followers: 1)
International Journal of Economics and Accounting     Hybrid Journal   (Followers: 1)
International Journal of Foundations of Computer Science     Hybrid Journal   (Followers: 3)
International Journal of Fuzzy Computation and Modelling     Hybrid Journal   (Followers: 2)
International Journal of Image and Graphics     Hybrid Journal   (Followers: 5)
International Journal of Industrial Electronics and Drives     Hybrid Journal   (Followers: 3)
International Journal of Low-Carbon Technologies     Open Access   (Followers: 1)
International Journal of Mathematical Education in Science and Technology     Hybrid Journal   (Followers: 9)
International Journal of Mathematical Modelling & Computations     Open Access   (Followers: 3)
International Journal of Mathematical Modelling and Numerical Optimisation     Hybrid Journal   (Followers: 5)
International Journal of Mathematical Sciences and Computing     Open Access  
International Journal of Mathematics     Hybrid Journal   (Followers: 4)
International Journal of Mathematics & Computation     Full-text available via subscription  
International Journal of Mathematics and Mathematical Sciences     Open Access   (Followers: 4)
International Journal of Mathematics in Operational Research     Hybrid Journal   (Followers: 2)
International Journal of Metaheuristics     Hybrid Journal   (Followers: 1)
International Journal of Modelling in Operations Management     Hybrid Journal   (Followers: 2)
International Journal of Modern Nonlinear Theory and Application     Open Access   (Followers: 1)
International Journal of Number Theory     Hybrid Journal   (Followers: 1)
International Journal of Partial Differential Equations     Open Access   (Followers: 2)
International Journal of Polymer Science     Open Access   (Followers: 25)
International Journal of Pure Mathematical Sciences     Open Access  
International Journal of Reliability, Quality and Safety Engineering     Hybrid Journal   (Followers: 14)
International Journal of Research in Undergraduate Mathematics Education     Hybrid Journal   (Followers: 4)
International Journal of Sediment Research     Full-text available via subscription   (Followers: 2)
International Journal of Shape Modeling     Hybrid Journal   (Followers: 1)
International Journal of Theoretical and Mathematical Physics     Open Access   (Followers: 13)
International Journal of Trends in Mathematics Education Research     Open Access   (Followers: 4)
International Journal of Ultra Wideband Communications and Systems     Hybrid Journal  
International Journal of Wavelets, Multiresolution and Information Processing     Hybrid Journal  
International Journal on Artificial Intelligence Tools     Hybrid Journal   (Followers: 9)
International Mathematics Research Notices     Hybrid Journal   (Followers: 1)
Internet Mathematics     Hybrid Journal   (Followers: 1)
Inventiones mathematicae     Hybrid Journal   (Followers: 2)
Inverse Problems in Science and Engineering     Hybrid Journal   (Followers: 3)
Investigations in Mathematics Learning     Hybrid Journal  
Iranian Journal of Optimization     Open Access   (Followers: 2)
Israel Journal of Mathematics     Hybrid Journal  
Ithaca : Viaggio nella Scienza     Open Access  
ITM Web of Conferences     Open Access  
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya     Full-text available via subscription  
Jahresbericht der Deutschen Mathematiker-Vereinigung     Hybrid Journal  
Japan Journal of Industrial and Applied Mathematics     Hybrid Journal  
Japanese Journal of Mathematics     Hybrid Journal  
JIPM (Jurnal Ilmiah Pendidikan Matematika)     Open Access  
JMPM : Jurnal Matematika dan Pendidikan Matematika     Open Access  
JOHME : Journal of Holistic Mathematics Education     Open Access   (Followers: 2)
Johnson Matthey Technology Review     Open Access  
Jornal Internacional de Estudos em Educação Matemática     Open Access  
Journal d'Analyse Mathématique     Hybrid Journal   (Followers: 2)
Journal de Mathématiques Pures et Appliquées     Full-text available via subscription   (Followers: 3)
Journal for Research in Mathematics Education     Full-text available via subscription   (Followers: 28)
Journal für Mathematik-Didaktik     Hybrid Journal  
Journal of Advanced Mathematics and Applications     Full-text available via subscription   (Followers: 1)
Journal of Algebra     Full-text available via subscription   (Followers: 3)
Journal of Algebra and Its Applications     Hybrid Journal   (Followers: 3)
Journal of Algebraic Combinatorics     Hybrid Journal   (Followers: 3)
Journal of Algorithms & Computational Technology     Open Access  
Journal of Applied Mathematics     Open Access   (Followers: 3)
Journal of Applied Mathematics and Computing     Hybrid Journal  
Journal of Applied Mathematics, Statistics and Informatics     Open Access   (Followers: 1)
Journal of Artificial Intelligence and Data Mining     Open Access   (Followers: 10)
Journal of Classification     Hybrid Journal   (Followers: 5)
Journal of Combinatorial Designs     Hybrid Journal   (Followers: 4)
Journal of Combinatorial Optimization     Hybrid Journal   (Followers: 7)
Journal of Combinatorial Theory, Series A     Full-text available via subscription   (Followers: 5)
Journal of Combinatorial Theory, Series B     Full-text available via subscription   (Followers: 3)
Journal of Complex Analysis     Open Access   (Followers: 2)
Journal of Complex Networks     Hybrid Journal   (Followers: 1)
Journal of Complexity     Hybrid Journal   (Followers: 6)
Journal of Computational and Applied Mathematics     Hybrid Journal   (Followers: 6)
Journal of Computational Biology     Hybrid Journal   (Followers: 9)
Journal of Computational Mathematics and Data Science     Open Access  
Journal of Computational Multiphase Flows     Open Access   (Followers: 1)
Journal of Computational Physics     Hybrid Journal   (Followers: 59)
Journal of Computational Physics : X     Open Access   (Followers: 1)
Journal of Computer Engineering, System and Science (CESS)     Open Access  
Journal of Contemporary Mathematical Analysis     Hybrid Journal  
Journal of Cryptology     Hybrid Journal   (Followers: 5)
Journal of Difference Equations and Applications     Hybrid Journal  
Journal of Differential Equations     Full-text available via subscription   (Followers: 1)
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  
Journal of Flood Risk Management     Hybrid Journal   (Followers: 14)
Journal of Function Spaces     Open Access  
Journal of Functional Analysis     Full-text available via subscription   (Followers: 3)
Journal of Geochemical Exploration     Hybrid Journal   (Followers: 4)
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  
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: 3)
Journal of Integrable Systems     Open Access  
Journal of Knot Theory and Its Ramifications     Hybrid Journal   (Followers: 2)
Journal of Liquid Chromatography & Related Technologies     Hybrid Journal   (Followers: 7)
Journal of Logical and Algebraic Methods in Programming     Hybrid Journal   (Followers: 1)
Journal of Manufacturing Systems     Full-text available via subscription   (Followers: 3)
Journal of Mathematical Analysis and Applications     Full-text available via subscription   (Followers: 3)
Journal of mathematical and computational science     Open Access   (Followers: 2)

  First | 1 2 3 4 | Last

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International Electronic Journal of Algebra
Number of Followers: 0  

  This is an Open Access Journal Open Access journal
ISSN (Print) 1306-6048 - ISSN (Online) 1306-6048
Published by DergiPark Homepage  [187 journals]
  • Counting non-isomorphic generalized Hamilton quaternions

    • Authors: Jose Maria GRAU; Celino MIGUEL, Antonio M. OLLER-MARCEN
      Abstract: In this paper we study the isomorphisms of generalized Hamilton quaternions $\Big(\frac{a,b}{R}\Big)$ where $R$ is a finite unital commutative ring of odd characteristic and $a,b \in R$. We obtain the number of non-isomorphic classes of generalized Hamilton quaternions in the case where $R$ is a principal ideal ring. This extends the case $R=\mathbb{Z}/n\mathbb{Z}$ where $n$ is an odd integer.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On $+\infty$-$\omega_0$-generated field extensions

    • Authors: El Hassane FLIOUET
      Abstract: A purely inseparable field extension $K$ of a field $k$ of characteristic $p\not=0$ is said to be $\omega_0$-generatedover $k$ if $K/k$ is not finitely generated, but $L/k$ is finitely generated for each proper intermediate field $L$.In 1986, Deveney solved the question posed by R. Gilmer and W. Heinzer, which consists in knowing if the lattice of intermediate fields of an $\omega_0$-generated field extension $K/k$ is necessarily linearly ordered under inclusion, by constructing an example of an $\omega_0$-generated field extension where $[k^{p^{-n}}\cap K: k]= p^{2n}$ for all positive integer $n$. This example has proved to be extremely useful in the construction of other examples of $\omega_0$-generated field extensions (of any finite irrationality degree).In this paper, we characterize the extensions of finite irrationality degree which are $\omega_0$-generated.In particular, in the case of unbounded irrationality degree, any modular extension of unbounded exponent contains a proper subfield of unbounded exponent over the ground field.Finally, we give a generalization, illustrated by an example, of the $\omega_0$-generated to include modular purely inseparable extensions of unbounded irrationality degree.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • Beyond Knuth's notation for unimaginable numbers within computational
           number theory

    • Authors: Antonino LEONARDIS; Gianfranco D'ATRI, Fabio CALDAROLA
      Abstract: Literature considers under the name "unimaginable numbers" anypositive integer going beyond any physical application. One of the most knownmethodologies to conceive such numbers is using hyper-operations, that is asequence of binary functions dened recursively starting from the usual chain:addition - multiplication - exponentiation. The most important notations torepresent such hyper-operations have been considered by Knuth, Goodstein,Ackermann and Conway as described in this work's introduction. Within thiswork we will give an axiomatic setup for this topic, and then try to nd on onehand other ways to represent unimaginable numbers, as well as on the otherhand applications to computer science, where the algorithmic nature of representations and the increased computation capabilities of computers give theperfect eld to develop further the topic, exploring some possibilities to effectively operate with such big numbers. In particular, we will give some axiomsand generalizations for the up-arrow notation and, considering a representation via rooted trees of the hereditary base-n notation, we will determine insome cases an effective bound related to "Goodstein sequences" using Knuthsnotation. Finally, we will also analyze some methods to compare big numbers,proving specically a theorem about approximation using scientic notationand a theorem on hyperoperation bounds for Steinhaus-Moser notation.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • Property of defect diminishing and stability

    • Authors: Marco Antonio Garcia MORALES; Lev GLEBSKY
      Abstract: Let $\Gamma$ be a group and $\mathscr{C}$ a class of groups endowed with bi-invariant metrics. We say that $\Gamma$ is $\mathscr{C}$-stable if every $\varepsilon$-homomorphism $\Gamma \rightarrow G$, $(G,d) \in \mathscr{C}$, is $\delta_\varepsilon$-close to a homomorphism, $\delta_\varepsilon\to 0$ when $\varepsilon\to 0$. If $\delta_\varepsilon < C \varepsilon$ for some $C$ we say that $\Gamma$ is $ \mathscr{C} $-stable with a linear rate. We say that $\Gamma$ has the property of defect diminishing if any asymptotic homomorphism can be changed a little to make errors essentially better. We show that the defect diminishing is equivalent to the stability with a linear rate.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On a property of the ideals of the polynomial ring $R[x]$

    • Authors: Amr Ali Abdulkader AL-MAKTRY
      Abstract: Let RR be a commutative ring with unity 1≠01≠0. In this paper we introduce the definition of the first derivative property on the ideals of the polynomial ring R[x]R[x]. In particular, when RR is a finite local ring with principal maximal ideal m≠{0}m≠{0} of index of nilpotency ee, where 1<e≤ R/m +11≤e≤ R/m +1, we show that the null ideal consisting of polynomials inducing the zero function on RR satisfies this property. As an application, when RR is a finite local ring with null ideal satisfying this property, we prove that the stabilizer group of RR in the group of polynomial permutations on the ring R[x]/(x2)R[x]/(x2), is isomorphic to a certain factor group of the null ideal.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On quartic Diophantine equations with trivial solutions in the Gaussian
           integers

    • Authors: Mahnaz AHMADI; Ali S. JANFADA
      Abstract: We show that the quartic Diophantine equations $ax^4+by^4=cz^2$ has only trivial solution in the Gaussian integers for some particular choices of $a,b$ and $c$. Our strategy is by elliptic curves method. In fact, we exhibit two null-rank corresponding families of elliptic curves over Gaussian field. We also determine the torsion groups of both families.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • The hom-associative Weyl algebras in prime characteristic

    • Authors: Per BACK; Johan RICHTER
      Abstract: We introduce the first hom-associative Weyl algebras over a field of prime characteristic as a generalization of the first associative Weyl algebra in prime characteristic. First, we study properties of hom-associative algebras constructed from associative algebras by a general ``twisting'' procedure. Then, with the help of these results, we determine the commuter, center, nuclei, and set of derivations of the first hom-associative Weyl algebras. We also classify them up to isomorphism, and show, among other things, that all nonzero endomorphisms on them are injective, but not surjective. Last, we show that they can be described as a multi-parameter formal hom-associative deformation of the first associative Weyl algebra, and that this deformation induces a multi-parameter formal hom-Lie deformation of the corresponding Lie algebra, when using the commutator as bracket.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On I-finite left quasi-duo rings

    • Authors: Ayman M. A. HOROUB; W. K. NICHOLSON
      Abstract: A ring is called left quasi-duo (left QD) if every maximal left ideal is aright ideal, and it is called I-finite if it contains no infinite orthogonalset of idempotents. It is shown that a ring is I-finite and left QD if andonly if it is a generalized upper-triangular matrix ring with all diagonalrings being division rings except the lower one, which is either a divisionring or it is I-finite, left QD and left `soclin' (left QDS). Here a ring iscalled left soclin if each simple left ideal is nilpotent. The left QDSrings are shown to be finite direct products of indecomposable left QDSrings, in each of which 1=f1+⋯+fm1=f1+⋯+fm where the fifi areorthogonal primitive idempotents, with fk≈flfk≈fl for all k,l,k,l,and ≈≈ is the block equivalence on {f1,…,fm}.{f1,…,fm}.A ring is shown to be left soclin if and only if every maximal left ideal isleft essential, if and only if the left socle is contained in the leftsingular ideal. These left soclin rings are proved to be a Morita invariantclass; and if a ring is semilocal and non-semisimple, then it is left soclinif and only if the Jacobson radical is essential as a left ideal..Left quasi-duo elements are defined for any ring and shown to constitute asubring containing the centre and the Jacobson radical of the ring. The`width' of any left QD ring is defined and applied to characterize thesemilocal left QD rings, and to clarify the semiperfect case..
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • Coregular sequences and top local homology modules

    • Authors: Nguyen Minh TRI
      Abstract:  In this paper, we show that if $M$ is a non-zero Artinian $R$-module and $\underline{x}:=x_1,\ldots,x_n$ is an $M$-coregular sequence, then $x_1,\ldots,x_n$ is a $D(H_n^{\underline{x}}(M))$-coregular sequence. Moreover, if $R$ is complete with respect to $I$-adic topology and $d=\mathrm{Ndim} M$, then $\dim H^I_d(M) \le d$ and $\mathrm{depth} H_I^d(M)\ge \min\{{2, d}\}$ whenever $H^I_d(M) \ne 0.$
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On Bell polynomials associated to Vasyunin cotangent sums

    • Authors: Samir BELHADJ; Mouloud GOUBİ
      Abstract: The present work is focused on the study of a cotangent sumassociated to the zeros of the Estermann zeta function and Riemannzeta function. We use Bell polynomials and generating functionsapproach to give arithmetical proof of its Dirichlet seriesdifferent from that given by M. Th. Rassias.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • Deriving some properties of Stanley-Reisner rings from their squarefree
           zero-divisor graphs

    • Authors: Ashkan NIKSERESHT
      Abstract: Let ΔΔ be a simplicial complex, IΔIΔ its Stanley-Reisner ideal and R=K[Δ]R=K[Δ] its Stanley-Reisner ring over a field KK. In 2018, the author introduced the squarefree zero-divisor graph of RR, denoted by Γsf(R)Γsf(R), and proved that if ΔΔ and Δ′Δ′ are two simplicial complexes, then the graphs Γsf(K[Δ])Γsf(K[Δ]) and Γsf(K[Δ′])Γsf(K[Δ′]) are isomorphic if and only if the rings K[Δ]K[Δ] and K[Δ′]K[Δ′] are isomorphic. Here we derive some algebraic properties of RR using combinatorial properties of Γsf(R)Γsf(R). In particular, we state combinatorial conditions on Γsf(R)Γsf(R) which are necessary or sufficient for RR to be Cohen-Macaulay. Moreover, we investigate when Γsf(R)Γsf(R) is in some well-known classes of graphs and show that in these cases, IΔIΔ has a linear resolution or is componentwise linear. Also we study the diameter and girth of Γsf(R)Γsf(R) and their algebraic interpretations.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On two questions of Nicholson

    • Authors: Feroz SIDDIQUE
      Abstract: We show that a ring $R$ has stable range one if and only if everyleft unit lifts modulo every left principal ideal. We also showthat a left quasi-morphic ring has stable range one if and only ifit is left uniquely generated. Thus we answer in the affirmativethe two questions raised by W. K. Nicholson.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On S-primary submodules

    • Authors: H. ANSARI-TOROGHY; S. S. POURMORTAZAVİ
      Abstract: Let $R$ be a commutative ring with identity, $S$ a multiplicatively closed subset of $R$, and $M$ be an $R$-module. In this paper, we study and investigate some properties of $S$-primary submodules of $M$. Among the other results, it is shown that this class of modules contains the family of primary (resp. $S$-prime) submodules properly.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
  • On lattices associated to rings with respect to a preradical

    • Authors: Erwin CERDA-LEON; Hugo RINCON-MEJIA
      Abstract: We introduce some new lattices of classes of modules with respect to appropriate preradicals. We introduce some concepts associated with these lattices, such as the $\sigma$-semiartinian rings, the $\sigma$-retractable modules, the $\sigma$-$V$-rings, the $\sigma$-max rings. We continue to study $\sigma$-torsion theories, $\sigma$-open classes, $\sigma$-stable classes. We prove some theorems that extend some known results. Our results fall into well known situations when the preradical $\sigma$ is chosen as the identity preradical.
      PubDate: Mon, 17 Jan 2022 00:00:00 +030
       
 
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