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Communications in Algebra最新文献

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Generalized F-depth and graded nilpotent singularities 广义 F 深度和分级零点奇点
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-06-11 DOI: 10.1080/00927872.2024.2357730
Kyle Maddox, Lance Edward Miller
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引用次数: 0
Kummer–Witt–Jackson algebras 库默-维特-杰克逊代数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-06-06 DOI: 10.1080/00927872.2024.2352073
Daniel Larsson
{"title":"Kummer–Witt–Jackson algebras","authors":"Daniel Larsson","doi":"10.1080/00927872.2024.2352073","DOIUrl":"https://doi.org/10.1080/00927872.2024.2352073","url":null,"abstract":"This paper is concerned with the construction of a small, but non-trivial, example of a polynomial identity algebra, which we call the Jackson algebra, that will be used in sequels to this paper to...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"13 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525387","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
Varieties defined by basic equations have the amalgamation property 由基本方程定义的变式具有合并性质
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-06-03 DOI: 10.1080/00927872.2024.2358417
Paolo Lipparini
{"title":"Varieties defined by basic equations have the amalgamation property","authors":"Paolo Lipparini","doi":"10.1080/00927872.2024.2358417","DOIUrl":"https://doi.org/10.1080/00927872.2024.2358417","url":null,"abstract":"A variety is a class of algebraic structures axiomatized by a set of equations. An equation is basic if there is at most one occurrence of a nonnullary operation symbol on each side. We show that a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"52 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253662","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
Classification of involutions on finitary incidence algebras of non-connected posets 非连接集合的有限发生代数上的卷积分类
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-31 DOI: 10.1080/00927872.2024.2356252
Érica Z. Fornaroli, Roger E. M. Pezzott
{"title":"Classification of involutions on finitary incidence algebras of non-connected posets","authors":"Érica Z. Fornaroli, Roger E. M. Pezzott","doi":"10.1080/00927872.2024.2356252","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356252","url":null,"abstract":"Let FI(X, K) be the finitary incidence algebra of a non-connected partially ordered set X over a field K of characteristic different from 2. For the case where every multiplicative automorphism of ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"26 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525272","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
Binomial ideals attached to finite collections of cells 有限单元集合的二项式理想
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-29 DOI: 10.1080/00927872.2024.2356248
Jürgen Herzog, Takayuki Hibi, Somayeh Moradi
{"title":"Binomial ideals attached to finite collections of cells","authors":"Jürgen Herzog, Takayuki Hibi, Somayeh Moradi","doi":"10.1080/00927872.2024.2356248","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356248","url":null,"abstract":"We consider the ideal of inner 2-minors IP of a finite set of cells P , which we call the cell ideal of P . A nice interpretation for the height of an unmixed ideal IP , in terms of the number of ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141525273","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 the Jacobson radical of Ore extensions 关于奥勒外延的雅各布森基的说明
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-29 DOI: 10.1080/00927872.2024.2356249
Kamal Paykan, Mohammad Habibi, Ali Parsian
{"title":"A note on the Jacobson radical of Ore extensions","authors":"Kamal Paykan, Mohammad Habibi, Ali Parsian","doi":"10.1080/00927872.2024.2356249","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356249","url":null,"abstract":"Let R be a ring with a monomorphism α and an α-derivation δ. In this article, we give a simple and different proof about the semiprimitivity of Ore extensions which states that the skew polynomial ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"8 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253635","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
Monogenity of iterates of irreducible binomials 不可还原二项式迭代的一元性
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-28 DOI: 10.1080/00927872.2024.2356250
Himanshu Sharma, Ritumoni Sarma, Shanta Laishram
{"title":"Monogenity of iterates of irreducible binomials","authors":"Himanshu Sharma, Ritumoni Sarma, Shanta Laishram","doi":"10.1080/00927872.2024.2356250","DOIUrl":"https://doi.org/10.1080/00927872.2024.2356250","url":null,"abstract":"One of the oldest problems of algebraic number theory is to find a method to determine if the ring of integers of a number field K is Z[θ] for some θ∈K ; a field for which the answer to this quest...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"68 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253535","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
When do modules mimic arbitrary sets? 模块何时模仿任意集合？
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-26 DOI: 10.1080/00927872.2024.2354916
Noyan Er
{"title":"When do modules mimic arbitrary sets?","authors":"Noyan Er","doi":"10.1080/00927872.2024.2354916","DOIUrl":"https://doi.org/10.1080/00927872.2024.2354916","url":null,"abstract":"We study rings whose modules and module homomorphisms display behavior similar to that of sets and their maps. For example, whenever there is an epimorphism A→B, there is a monomorphism B→A (Artini...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"44 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141173325","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
Finiteness conditions for the weak commutativity group and related constructions 弱交换性群的有限性条件及相关构造
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-26 DOI: 10.1080/00927872.2024.2354919
R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka
{"title":"Finiteness conditions for the weak commutativity group and related constructions","authors":"R. Bastos, R. de Oliveira, B. Lima, I. N. Nakaoka","doi":"10.1080/00927872.2024.2354919","DOIUrl":"https://doi.org/10.1080/00927872.2024.2354919","url":null,"abstract":"The weak commutativity group χ(G) is generated by two isomorphic groups G and Gφ subject to the relations [g,gφ]=1 for all g∈G. We establish a finiteness criterion for the subgroups of χ(G) in term...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"23 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167028","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
Moduli of representations of one-point extensions 一点扩展的表征模数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-05-19 DOI: 10.1080/00927872.2024.2353283
Arif Dönmez, Markus Reineke
{"title":"Moduli of representations of one-point extensions","authors":"Arif Dönmez, Markus Reineke","doi":"10.1080/00927872.2024.2353283","DOIUrl":"https://doi.org/10.1080/00927872.2024.2353283","url":null,"abstract":"We study moduli spaces of (semi-)stable representations of one-point extensions of quivers by rigid representations. This class of moduli spaces unifies Grassmannians of subrepresentations of rigid...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"35 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141167033","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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