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International Journal of Algebra and Computation最新文献

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Dead ends on wreath products and lamplighter groups 花环产品和点灯器组的死胡同
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-06-17 DOI: 10.1142/s0218196723500571
Eduardo Silva
{"title":"Dead ends on wreath products and lamplighter groups","authors":"Eduardo Silva","doi":"10.1142/s0218196723500571","DOIUrl":"https://doi.org/10.1142/s0218196723500571","url":null,"abstract":"For any finite group $A$ and any finitely generated group $B$, we prove that the corresponding lamplighter group $Awr B$ admits a standard generating set with unbounded depth, and that if $B$ is abelian then the above is true for every standard generating set. This generalizes the case where $B=mathbb{Z}$ together with its cyclic generator due to Cleary and Taback. When $B=H*K$ is the free product of two finite groups $H$ and $K$, we characterize which standard generators of the associated lamplighter group have unbounded depth in terms of a geometrical constant related to the Cayley graphs of $H$ and $K$. In particular, we find differences with the one-dimensional case: the lamplighter group over the free product of two sufficiently large finite cyclic groups has uniformly bounded depth with respect to some standard generating set.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44320880","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
On the Number of Tilting Modules Over a Class Of Auslander Algebras 一类Auslander代数上可倾模的个数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-05-24 DOI: 10.1142/s0218196723500479
Daniel Chen, Xiaojin Zhang
{"title":"On the Number of Tilting Modules Over a Class Of Auslander Algebras","authors":"Daniel Chen, Xiaojin Zhang","doi":"10.1142/s0218196723500479","DOIUrl":"https://doi.org/10.1142/s0218196723500479","url":null,"abstract":"Let $Lambda$ be a radical square zero algebra of a Dynkin quiver and let $Gamma$ be the Auslander algebra of $Lambda$. Then the number of tilting right $Gamma$-modules is $2^{m-1}$ if $Lambda$ is of $A_{m}$ type for $mgeq 1$. Otherwise, the number of tilting right $Gamma$-modules is $2^{m-3}times14$ if $Lambda$ is either of $D_{m}$ type for $mgeq 4$ or of $E_{m}$ type for $m=6,7,8$.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45072948","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
Lie algebras and hyperbolic conservation laws 李代数与双曲守恒定律
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91731
Yacine Benhadid, Yousuf Alkhezi
{"title":"Lie algebras and hyperbolic conservation laws","authors":"Yacine Benhadid, Yousuf Alkhezi","doi":"10.12988/ija.2022.91731","DOIUrl":"https://doi.org/10.12988/ija.2022.91731","url":null,"abstract":"A general implementation is presented for constructing the relation between the conservation laws for partial differential equations and the Lie algebra. This construction does not require the use of existence of a variational principle and reduces the calculation of conservation laws to solving a system of linear determining equations similar to that for finding symmetries. An explicit formula is derived which yields a conservation law for each solution of the determining system. A simulation of this combination to solve partial differential equation is elaborated by an application on Burger’s equation which shows several results. General behavior of the distribution function for conservation laws of these equations are obtained and shown.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85435858","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
Laplacian spectrum and Brouwer's conjecture of a graph 图的拉普拉斯谱和布劳威尔猜想
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91724
Nada Alnufaei
{"title":"Laplacian spectrum and Brouwer's conjecture of a graph","authors":"Nada Alnufaei","doi":"10.12988/ija.2022.91724","DOIUrl":"https://doi.org/10.12988/ija.2022.91724","url":null,"abstract":"The aim of this paper is to focus on the GroneMerris Theorem and Brouwers Conjecture and give the results of some famous graphs. For example, a threshold graph, a star graph, ( K 4 − e ) + K 2 . Moreover, we investigated some common properties between nonplanar graphs K 3 , 3 , K 5 in this regard. We have relied on [1], [6] and [9].","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76863452","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
Ranks in elliptic curves of the forms y^2=x^3+Ax^2+Bx 椭圆曲线的排列形式为y^2=x^3+Ax^2+Bx
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91726
Shin-wook Kim
{"title":"Ranks in elliptic curves of the forms y^2=x^3+Ax^2+Bx","authors":"Shin-wook Kim","doi":"10.12988/ija.2022.91726","DOIUrl":"https://doi.org/10.12988/ija.2022.91726","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77419897","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
R-train algebras of rank 3, type (4, 2) with dim U2 = dim UV = 1 and U3 = 0 3阶，类型(4,2)，昏暗U2 =昏暗UV = 1，昏暗U3 = 0的r -训练代数
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91717
R. Arbach, Luis Antonio Fernandes de Oliveira
{"title":"R-train algebras of rank 3, type (4, 2) with dim U2 = dim UV = 1 and U3 = 0","authors":"R. Arbach, Luis Antonio Fernandes de Oliveira","doi":"10.12988/ija.2022.91717","DOIUrl":"https://doi.org/10.12988/ija.2022.91717","url":null,"abstract":"In this paper, we classify R-train algebras of rank 3 and dimension 6 of type (4, 2) for which dim U2 = dim UV = 1 and U3 = 0. For that, we use some results that we had proved in [3] and in [4]. Mathematics Subject Classification: 17A30, 17C27","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81287226","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
Reduced rings and modules arising from Morita contexts 由森田上下文引起的约简环和模
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91725
Qingbing Xu, Yang Liu, M. Munir, Kausar Nasreen
{"title":"Reduced rings and modules arising from Morita contexts","authors":"Qingbing Xu, Yang Liu, M. Munir, Kausar Nasreen","doi":"10.12988/ija.2022.91725","DOIUrl":"https://doi.org/10.12988/ija.2022.91725","url":null,"abstract":"In this paper, we study the reduced rings arising from Morita context M ( A, B ) = ( A, M, N, B, ϕ, ψ ). Necessary and sufficient conditions are investigated for the Morita ring R to be reduced. In particular, the reduced modules over Morita context rings are characterized.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87908109","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
On representation theory of Lie triple systems 李三系的表示理论
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91720
A. Alshahrani
{"title":"On representation theory of Lie triple systems","authors":"A. Alshahrani","doi":"10.12988/ija.2022.91720","DOIUrl":"https://doi.org/10.12988/ija.2022.91720","url":null,"abstract":"The present work concerns certain aspects of Lie algebras, Lie triple systems and Jordan triple systems. We summarize the latest results on the universal enveloping algebras of Lie algebras and Lie triple systems. In particular, we study a Casimir element as the element in the center of the universal enveloping algebras. Using this element, we characterize the semi-simple Lie triple systems among the quadratic Lie triple systems. We define Jordan’s triple systems relationship with algebras and Lie algebras. Finally, we prove some theorems, examples and facts on all of the above. Mathematics Subject Classification: 17C50, 17B60, 17B20, 17B05","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75692384","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
Direct calculation for determinant main blocks of 2x2 直接计算2x2的行列式主块
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91715
E. Salinas-Hernández, G. Ares de Parga, J. A. Martinez-Nuno
{"title":"Direct calculation for determinant main blocks of 2x2","authors":"E. Salinas-Hernández, G. Ares de Parga, J. A. Martinez-Nuno","doi":"10.12988/ija.2022.91715","DOIUrl":"https://doi.org/10.12988/ija.2022.91715","url":null,"abstract":"","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82636212","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
The influence of weakly-supplemented subgroups on the structure of finite groups 弱补子群对有限群结构的影响
IF 0.8 2区 数学
International Journal of Algebra and Computation Pub Date : 2022-01-01 DOI: 10.12988/ija.2022.91729
Yuxuan Zhang
{"title":"The influence of weakly-supplemented subgroups on the structure of finite groups","authors":"Yuxuan Zhang","doi":"10.12988/ija.2022.91729","DOIUrl":"https://doi.org/10.12988/ija.2022.91729","url":null,"abstract":"Let G be a finite group. A subgroup L of G is said to be weakly-supplemented in G if there exists a proper subgroup M of G such that G = LM . The key of this paper is to determine the supersolvability and p -nilpotency of finite groups under assumption that some primary subgroups are weakly-supplemented.","PeriodicalId":13756,"journal":{"name":"International Journal of Algebra and Computation","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82878256","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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