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International Journal of Algebra and Computation最新文献

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A short proof of the Baker-Pixley theorem for classes 一个关于类的Baker-Pixley定理的简短证明
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-08-18 DOI: 10.1142/s0218196723500625
M. Campercholi, D. Vaggione
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引用次数: 0
On Residual Nilpotence of Group Extensions 关于群扩展的残零幂
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-08-18 DOI: 10.1142/s0218196723500613
V. Bardakov, O. V. Bryukhanov, M. V. Neshchadim
{"title":"On Residual Nilpotence of Group Extensions","authors":"V. Bardakov, O. V. Bryukhanov, M. V. Neshchadim","doi":"10.1142/s0218196723500613","DOIUrl":"https://doi.org/10.1142/s0218196723500613","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46055691","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ℵ0-Distributive Modules and Rings 分配模与环
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-06-23 DOI: 10.1142/s0218196723500510
A. Tuganbaev
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引用次数: 1
A B-Infinity Algebra Structure of Singular Hochschild Complex 奇异Hochschild复形的B-无穷代数结构
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-06-16 DOI: 10.1142/s0218196723500480
Jun Qiu, Yu Wang
{"title":"A B-Infinity Algebra Structure of Singular Hochschild Complex","authors":"Jun Qiu, Yu Wang","doi":"10.1142/s0218196723500480","DOIUrl":"https://doi.org/10.1142/s0218196723500480","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47734684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Differentially Fixed Ideals in Affine Semigroup Rings 仿射半群环上的微分固定理想
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-06-16 DOI: 10.1142/s0218196723500509
L. Miller, William D. Taylor, J. Vassilev
{"title":"Differentially Fixed Ideals in Affine Semigroup Rings","authors":"L. Miller, William D. Taylor, J. Vassilev","doi":"10.1142/s0218196723500509","DOIUrl":"https://doi.org/10.1142/s0218196723500509","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46983318","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Tate–Shafarevich groups and algebras Tate-Shafarevich群与代数
2区 数学
International Journal of Algebra and Computation Pub Date : 2023-06-01 DOI: 10.1142/s0218196723500364
Boris Kunyavski, Vadim Z. Ostapenko
{"title":"Tate–Shafarevich groups and algebras","authors":"Boris Kunyavski, Vadim Z. Ostapenko","doi":"10.1142/s0218196723500364","DOIUrl":"https://doi.org/10.1142/s0218196723500364","url":null,"abstract":"The Tate–Shafarevich set of a group [Formula: see text] defined by Takashi Ono coincides, in the case where [Formula: see text] is finite, with the group of outer class-preserving automorphisms of [Formula: see text] introduced by Burnside. We consider analogs of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135626590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Knapsack and the power word problem in solvable Baumslag–Solitar groups 可解Baumslag-Solitar群中的背包与幂词问题
2区 数学
International Journal of Algebra and Computation Pub Date : 2023-04-21 DOI: 10.1142/s0218196723500285
Moses Ganardi, Markus Lohrey, Georg Zetzsche
{"title":"Knapsack and the power word problem in solvable Baumslag–Solitar groups","authors":"Moses Ganardi, Markus Lohrey, Georg Zetzsche","doi":"10.1142/s0218196723500285","DOIUrl":"https://doi.org/10.1142/s0218196723500285","url":null,"abstract":"We prove that the power word problem for certain metabelian subgroups of [Formula: see text] (including the solvable Baumslag–Solitar groups [Formula: see text]) belongs to the circuit complexity class [Formula: see text]. In the power word problem, the input consists of group elements [Formula: see text] and binary encoded integers [Formula: see text] and it is asked whether [Formula: see text] holds. Moreover, we prove that the knapsack problem for [Formula: see text] is [Formula: see text]-complete. In the knapsack problem, the input consists of group elements [Formula: see text] and it is asked whether the equation [Formula: see text] has a solution in [Formula: see text]. For the more general case of a system of so-called exponent equations, where the exponent variables [Formula: see text] can occur multiple times, we show that solvability is undecidable for [Formula: see text].","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"181 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135416152","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On freese's technique 论弗里斯的技术
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-02-22 DOI: 10.1142/S0218196723500601
P. Aglianó, S. Bartali, S. Fioravanti
{"title":"On freese's technique","authors":"P. Aglianó, S. Bartali, S. Fioravanti","doi":"10.1142/S0218196723500601","DOIUrl":"https://doi.org/10.1142/S0218196723500601","url":null,"abstract":"In this paper we explore some applications of a certain technique (that we call the Freese's technique), which is a tool for identifying certain lattices as sublattices of the congruence lattice of a given algebra. In particular we will give sufficient conditions for two family of lattices (called the rods and the snakes) to be admissible as sublattices of a variety generated by a given algebra, extending an unpublished result of R. Freese and P. Lipparini.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47491239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Quadratic equations in metabelian Baumslag-Solitar groups 偏贝塞尔Baumslag孤立群中的二次方程
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-02-14 DOI: 10.1142/s0218196723500558
Richard Mandel, A. Ushakov
{"title":"Quadratic equations in metabelian Baumslag-Solitar groups","authors":"Richard Mandel, A. Ushakov","doi":"10.1142/s0218196723500558","DOIUrl":"https://doi.org/10.1142/s0218196723500558","url":null,"abstract":"For a finitely generated group $G$, the emph{Diophantine problem} over $G$ is the algorithmic problem of deciding whether a given equation $W(z_1,z_2,ldots,z_k) = 1$ (perhaps restricted to a fixed subclass of equations) has a solution in $G$. In this paper, we investigate the algorithmic complexity of the Diophantine problem for the class $mathcal{C}$ of quadratic equations over the metabelian Baumslag-Solitar groups $mathbf{BS}(1,n)$. We prove that this problem is $mathbf{NP}$-complete whenever $nneq pm 1$, and determine the algorithmic complexity for various subclasses (orientable, nonorientable etc.) of $mathcal{C}$.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43872859","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Generalized (σ,τ)-reverse derivations in prime rings 素环上的广义(σ，τ)-逆导数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2023-01-01 DOI: 10.12988/ija.2023.91739
C. Jaya Subba Reddy, M. Sri Kameswara Rao, O. Vishal, Preethi Budi
{"title":"Generalized (σ,τ)-reverse derivations in prime rings","authors":"C. Jaya Subba Reddy, M. Sri Kameswara Rao, O. Vishal, Preethi Budi","doi":"10.12988/ija.2023.91739","DOIUrl":"https://doi.org/10.12988/ija.2023.91739","url":null,"abstract":"Let 𝑅 be a prime ring","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":"35 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80796596","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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