Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 43)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 20)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 6)
Advances in Materials Science     Open Access   (Followers: 21)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 6)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 6)
Algorithms     Open Access   (Followers: 14)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 12)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 15)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 16)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 3)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 2)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 4)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 20)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 11)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 10)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

Similar Journals
Journal Cover
Algebra Colloquium
Journal Prestige (SJR): 0.52
Number of Followers: 3  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1005-3867 - ISSN (Online) 0219-1733
Published by World Scientific Homepage  [121 journals]
  • A Class of Association Schemes and Their Automorphisms

    • Free pre-print version: Loading...

      Authors: Changli Ma, Shuxia Liu, Yanan Feng, Yang Zhang, Liwei Zeng
      Pages: 361 - 374
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 361-374, September 2022.
      In this paper, we construct a class of association schemes by using pairs of subspaces of vector spaces and determine their full automorphism groups.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S100538672200027X
      Issue No: Vol. 29, No. 03 (2022)
       
  • An Arithmetical Condition on the Sizes of Conjugacy Classes of a Finite
           Group

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      Authors: Yongcai Ren
      Pages: 375 - 384
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 375-384, September 2022.
      An element [math] of a finite group [math] is said to be primary if the order of [math] is a prime power. We define [math] as follows: if [math] is a prime power for every primary element [math] of [math], where [math] is the conjugacy class of [math] in [math], then [math]; if there exists a primary element [math] in [math] such that [math] is divisible by at least two distinct primes, then [math]. In this paper we discuss the influence of the number [math] on the structure of [math].
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000281
      Issue No: Vol. 29, No. 03 (2022)
       
  • Characterizations for the Core Invertibility and EP-ness Involving
           Projections

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      Authors: Honglin Zou, Dragana Cvetković-Ilić, Jianlong Chen, Kezheng Zuo
      Pages: 385 - 404
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 385-404, September 2022.
      In this paper we obtain some equivalent conditions for the core invertibility and EP-ness of [math], [math], [math] and [math], where [math], [math] are projections in different settings, such as ∗-rings, ∗-reducing rings and [math]-algebras. Moreover, several representations for the core inverses of product, difference and sum of two generalized projections are derived. In particular, a number of examples are given to illustrate our results.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000293
      Issue No: Vol. 29, No. 03 (2022)
       
  • On the P.Q.-Baer Skew Generalized Power Series Modules

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      Authors: Ali Majidinya
      Pages: 405 - 418
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 405-418, September 2022.
      For a ring [math] and a strictly totally ordered monoid [math], let [math] be a monoid homomorphism and [math] an [math]-weakly rigid right [math]-module (i.e., for any elements [math], [math] and [math], [math] if and only if [math]), where [math] is the ring of ring endomorphisms of [math]. It is shown that the skew generalized power series module [math] is a principally quasi-Baer module if and only if the annihilator of every submodule generated by an [math]-indexed subset of [math] is generated by an idempotent as a right ideal of [math]. As a consequence we deduce that for an [math]-weakly rigid ring [math], the skew generalized power series ring [math] is right principally quasi-Baer if and only if [math] is right principally quasi-Baer and any [math]-indexed subset of right semicentral idempotents in [math] has a generalized [math]-indexed join in [math]. The range of previous results in this area is expanded by these results.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S100538672200030X
      Issue No: Vol. 29, No. 03 (2022)
       
  • Skew Incidence Rings and the Isomorphism Problem

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      Authors: Érica Z. Fornaroli
      Pages: 419 - 426
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 419-426, September 2022.
      Let [math] be a finite partially ordered set, [math] an associative unital ring and [math] an endomorphism of [math]. We describe some properties of the skew incidence ring [math] such as invertible elements, idempotents, the Jacobson radical and the center. Moreover, if two skew incidence rings [math] and [math]are isomorphic and the only idempotents of [math] and [math] are the trivial ones, we show that the partially ordered sets [math] and [math] are isomorphic.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000311
      Issue No: Vol. 29, No. 03 (2022)
       
  • Total Graphs Are Laplacian Integral

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      Authors: David Dolžan, Polona Oblak
      Pages: 427 - 436
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 427-436, September 2022.
      We prove that the Laplacian matrix of the total graph of a finite commutative ring with identity has integer eigenvalues and present a recursive formula for computing its eigenvalues and eigenvectors. We also prove that the total graph of a finite commutative local ring with identity is super integral and give an example showing that this is not true for arbitrary rings.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000323
      Issue No: Vol. 29, No. 03 (2022)
       
  • On Conjugacy Class Graph of Normal Subgroup

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      Authors: Ruifang Chen, Xianhe Zhao
      Pages: 437 - 442
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 437-442, September 2022.
      Let [math] be a finite group and [math] a normal subgroup of [math]. Denote by [math] the graph whose vertices are all distinct [math]-conjugacy class sizes of non-central elements in [math], and two vertices of [math] are adjacent if and only if they are not coprime numbers. We prove that if the center [math] and [math]is [math]-regular for [math], then either a section of [math]is a quasi-Frobenius group or [math] is a complete graph with [math] vertices.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000335
      Issue No: Vol. 29, No. 03 (2022)
       
  • Bound for the Regularity of Binomial Edge Ideals of Cactus Graphs

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      Authors: A.V. Jayanthan, Rajib Sarkar
      Pages: 443 - 452
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 443-452, September 2022.
      In this article, we obtain an upper bound for the regularity of the binomial edge ideal of a graph whose every block is either a cycle or a clique. As a consequence, we obtain an upper bound for the regularity of binomial edge ideal of a cactus graph. We also identify a certain subclass attaining the upper bound.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000347
      Issue No: Vol. 29, No. 03 (2022)
       
  • One-Generated Nilpotent Bicommutative Algebras

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      Authors: Ivan Kaygorodov, Pilar Páez-Guillán, Vasily Voronin
      Pages: 453 - 474
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 453-474, September 2022.
      We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000359
      Issue No: Vol. 29, No. 03 (2022)
       
  • Gorenstein AC-Projective and AC-Injective Modules over Formal Triangular
           Matrix Rings

    • Free pre-print version: Loading...

      Authors: Dejun Wu, Hui Zhou
      Pages: 475 - 490
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 475-490, September 2022.
      Let [math] and [math] be rings and [math] a [math]-bimodule. If [math] is flat and [math] is finitely generated projective (resp., [math] is finitely generated projective and [math] is flat), then the characterizations of level modules and Gorenstein AC-projective modules (resp., absolutely clean modules and Gorenstein AC-injective modules) over the formal triangular matrix ring [math] are given. As applications, it is proved that every Gorenstein AC-projective left [math]-module is projective if and only if each Gorenstein AC-projective left [math]-module and [math]-module is projective, and every Gorenstein AC-injective left [math]-module is injective if and only if each Gorenstein AC-injective left [math]-module and [math]-module is injective. Moreover, Gorenstein AC-projective and AC-injective dimensions over the formal triangular matrix ring [math] are studied.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000360
      Issue No: Vol. 29, No. 03 (2022)
       
  • The Restriction of Polynomial Modules for the Virasoro Algebra to [math]

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      Authors: Matthew Ondrus, Emilie Wiesner
      Pages: 491 - 508
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 491-508, September 2022.
      The Lie algebra [math] may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra, so it is natural to consider connections between the representation theory of the two algebras. In this paper, we explore the restriction to [math] of certain induced modules for the Virasoro algebra. Specifically, we consider Virasoro modules induced from so-called polynomial subalgebras, and we show that the restriction of these modules results in twisted versions of familiar modules such as Verma modules and Whittaker modules.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000372
      Issue No: Vol. 29, No. 03 (2022)
       
  • On Some Numerical Semigroup Transforms

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      Authors: Carmelo Cisto
      Pages: 509 - 526
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 509-526, September 2022.
      In this paper we introduce a particular semigroup transform [math] that fixes the invariants involved in Wilf's conjecture, except the embedding dimension. It also allows one to arrange the set of non-ordinary and non-irreducible numerical semigroups in a family of rooted trees. In addition, we study another transform, having similar features, that has been introduced by Bras-Amorós, and we make a comparison of them. In particular, we study the behavior of the embedding dimension under the action of such transforms, providing some consequences concerning Wilf's conjecture.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000384
      Issue No: Vol. 29, No. 03 (2022)
       
  • Divisibility Properties of Power Matrices Associated with Arithmetic
           Functions on a Divisor Chain

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      Authors: Long Chen, Zongbing Lin, Qianrong Tan
      Pages: 527 - 540
      Abstract: Algebra Colloquium, Volume 29, Issue 03, Page 527-540, September 2022.
      Let [math], [math] and [math] be positive integers with[math], [math] be an integer-valued arithmetic function, and the set [math] of [math] distinct positive integers be a divisor chain such that [math]. We first show that the matrix [math] having [math] evaluated at the [math]th power [math] of the greatest common divisor of [math] and [math] as its [math]-entry divides the GCD matrix [math] in the ring [math] of [math] matrices over integers if and only if [math] and [math] divides [math] for any integer [math] with [math]. Consequently, we show that the matrix [math] having [math] evaluated at the [math]th power [math] of the least common multiple of [math] and [math] as its [math]-entry divides the matrix [math] in the ring [math] if and only if [math] and [math] divides [math] for any integer [math] with[math]. Finally, we prove that the matrix [math] divides the matrix [math] in the ring [math] if and only if [math] and [math] for any integer [math] with [math]. Our results extend and strengthen the theorems of Hong obtained in 2008.
      Citation: Algebra Colloquium
      PubDate: 2022-07-26T07:00:00Z
      DOI: 10.1142/S1005386722000396
      Issue No: Vol. 29, No. 03 (2022)
       
 
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