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Communications in Algebra最新文献

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A new criterion for p-nilpotency and solvability of finite groups by coprime actions 有限群共轭作用的 p-nilpotency 和可解性的新标准
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-02 DOI: 10.1080/00927872.2024.2395990
Boru Zhang, Jiakuan Lu, Wei Meng
{"title":"A new criterion for p-nilpotency and solvability of finite groups by coprime actions","authors":"Boru Zhang, Jiakuan Lu, Wei Meng","doi":"10.1080/00927872.2024.2395990","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395990","url":null,"abstract":"Let G and A be finite groups of relative coprime orders and A acts on G via automorphisms. In this paper, we investigate the p-nilpotency and solvability of finite groups in which every maximal A-i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206034","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Minimal free resolution of generalized repunit algebras 广义重子代数的最小自由解析
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-02 DOI: 10.1080/00927872.2024.2394968
Isabel Colaço, Ignacio Ojeda
{"title":"Minimal free resolution of generalized repunit algebras","authors":"Isabel Colaço, Ignacio Ojeda","doi":"10.1080/00927872.2024.2394968","DOIUrl":"https://doi.org/10.1080/00927872.2024.2394968","url":null,"abstract":"Let k be an arbitrary field and let b>1,n>1 and a be three positive integers. In this paper we explicitly describe a minimal S-graded free resolution of the semigroup algebra k[S] when S is a gener...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Branching rules for the restriction of regular representations of GL2(o/℘r) to SL2(o/℘r) 将 GL2(o/℘r) 的正则表达式限制到 SL2(o/℘r) 的分支规则
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-01 DOI: 10.1080/00927872.2024.2393704
M. Hassain
{"title":"Branching rules for the restriction of regular representations of GL2(o/℘r) to SL2(o/℘r)","authors":"M. Hassain","doi":"10.1080/00927872.2024.2393704","DOIUrl":"https://doi.org/10.1080/00927872.2024.2393704","url":null,"abstract":"Let o be a compact discrete valuation ring with maximal ideal ℘ such that the finite residue field o/℘ has characteristic p. For r≥2 and p=2, we obtain the branching rules for the restriction ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206037","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 exact products of a cyclic group and a dihedral group 论循环群与二面群的精确乘积
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-28 DOI: 10.1080/00927872.2024.2392861
Kan Hu, István Kovács, Young Soo Kwon
{"title":"On exact products of a cyclic group and a dihedral group","authors":"Kan Hu, István Kovács, Young Soo Kwon","doi":"10.1080/00927872.2024.2392861","DOIUrl":"https://doi.org/10.1080/00927872.2024.2392861","url":null,"abstract":"A finite group G is an exact product of two subgroups A and B if G = AB and A∩B={1G}. In this paper, for all odd numbers k≥3, using the theory of skew morphisms and associated extended power functi...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 the Gabriel quiver of extensions of Leibniz algebras 论莱布尼兹代数扩展的加布里埃尔四维空间
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-24 DOI: 10.1080/00927872.2024.2390623
Ziwendtaoré Hermann Bamogo, Friedrich Wagemann
{"title":"On the Gabriel quiver of extensions of Leibniz algebras","authors":"Ziwendtaoré Hermann Bamogo, Friedrich Wagemann","doi":"10.1080/00927872.2024.2390623","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390623","url":null,"abstract":"We compute the Gabriel quiver of simple objects in the category of bimodules over a simple Leibniz algebra and over the trivial 1-dimensional Leibniz algebra. Vertices of the quiver are the classes...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 Kn-simple groups and traces of maximal subgroups 论 Kn 简单群和最大子群的踪迹
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-20 DOI: 10.1080/00927872.2024.2390633
Xiao Huang, Yanhui Xiang, Jia Zhang, Liyu Zhu
{"title":"On Kn-simple groups and traces of maximal subgroups","authors":"Xiao Huang, Yanhui Xiang, Jia Zhang, Liyu Zhu","doi":"10.1080/00927872.2024.2390633","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390633","url":null,"abstract":"Abstract–In this paper, based on the classifications of Kn-simple groups for n≤6 and under the case that every maximal subgroup has a π-nilpotent trace, we obtained the necessary and sufficient con...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 generalized Star-GCD extensions 关于广义星形-GCD扩展
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-20 DOI: 10.1080/00927872.2024.2389981
Luc Emery Fotso Diekouam, Lokendra Paudel, Simplice Tchamna
{"title":"On generalized Star-GCD extensions","authors":"Luc Emery Fotso Diekouam, Lokendra Paudel, Simplice Tchamna","doi":"10.1080/00927872.2024.2389981","DOIUrl":"https://doi.org/10.1080/00927872.2024.2389981","url":null,"abstract":"Let ⋆ be a star operation on a ring extension R⊆S. The ring extension is said to be a generalized ⋆-greatest common divisor (G- ⋆GCD) extension if the intersection of two ⋆-invertible ideals of R i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A wreath product decomposition of E-solid locally inverse semigroups E 实体局部逆半群的花环积分解
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-20 DOI: 10.1080/00927872.2024.2390638
Jiří Kad’ourek
{"title":"A wreath product decomposition of E-solid locally inverse semigroups","authors":"Jiří Kad’ourek","doi":"10.1080/00927872.2024.2390638","DOIUrl":"https://doi.org/10.1080/00927872.2024.2390638","url":null,"abstract":"In this paper, a kind of restricted wreath product of an arbitrary band of groups by an arbitrary generalized inverse semigroup is introduced first. This wreath product turns out to be an E-solid s...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A note on deformations of finite dimensional modules over k-algebras 关于 k 矩阵上有限维模块变形的说明
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-19 DOI: 10.1080/00927872.2024.2387048
Pedro Rizzo, José A. Vélez-Marulanda
{"title":"A note on deformations of finite dimensional modules over k-algebras","authors":"Pedro Rizzo, José A. Vélez-Marulanda","doi":"10.1080/00927872.2024.2387048","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387048","url":null,"abstract":"Let k be a field, and let Λ be a (not necessarily finite dimensional) k-algebra. Let V be an indecomposable left Λ-module which is finite dimensional over k and such that dimkExtΛ1(V,V)≤1. Assume f...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Central extensions, derivations, and automorphisms of the super Heisenberg-Virasoro algebra 超海森堡-维拉索罗代数的中心扩展、派生和自动形态
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-17 DOI: 10.1080/00927872.2024.2387058
Mingyue Xiao, Shoulan Gao, Yufeng Pei
{"title":"Central extensions, derivations, and automorphisms of the super Heisenberg-Virasoro algebra","authors":"Mingyue Xiao, Shoulan Gao, Yufeng Pei","doi":"10.1080/00927872.2024.2387058","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387058","url":null,"abstract":"In this paper, we use the Balinsky-Novikov construction to naturally realize the super Heisenberg-Virasoro algebra g . We then proceed to compute the second cohomology of g with trivial coefficien...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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