Pub Date : 2024-07-23DOI: 10.1080/00927872.2024.2372372
Y. Tolooei, Pegah Neishabouri
{"title":"On modules in which every proper finitely generated submodule is a subset of a kernel of a nonzero endomorphism","authors":"Y. Tolooei, Pegah Neishabouri","doi":"10.1080/00927872.2024.2372372","DOIUrl":"https://doi.org/10.1080/00927872.2024.2372372","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141811768","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}
Pub Date : 2024-07-23DOI: 10.1080/00927872.2024.2336134
Jack Saunders
{"title":"Cohomology and Ext for blocks whose Brauer trees are lines or stars","authors":"Jack Saunders","doi":"10.1080/00927872.2024.2336134","DOIUrl":"https://doi.org/10.1080/00927872.2024.2336134","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141811500","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2371559
Jingwen Shen, Xiaoyan Yang
Let R be a commutative noetherian ring and a an ideal of R. The goal of this paper is to establish the local-global principle for the artinianness dimension ra(M), where ra(M) is the smallest integ...
{"title":"The local-global principle for the artinianness dimensions","authors":"Jingwen Shen, Xiaoyan Yang","doi":"10.1080/00927872.2024.2371559","DOIUrl":"https://doi.org/10.1080/00927872.2024.2371559","url":null,"abstract":"Let R be a commutative noetherian ring and a an ideal of R. The goal of this paper is to establish the local-global principle for the artinianness dimension ra(M), where ra(M) is the smallest integ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944333","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2372376
Trevor Gunn
In a recent paper, Baker and Oliver Lorscheid showed that Descartes’s Rule of Signs and Newton’s Polygon Rule can both be interpreted as multiplicities of polynomials over hyperfields. Hyperfields ...
{"title":"Tropical extensions and Baker-Lorscheid multiplicities for idylls","authors":"Trevor Gunn","doi":"10.1080/00927872.2024.2372376","DOIUrl":"https://doi.org/10.1080/00927872.2024.2372376","url":null,"abstract":"In a recent paper, Baker and Oliver Lorscheid showed that Descartes’s Rule of Signs and Newton’s Polygon Rule can both be interpreted as multiplicities of polynomials over hyperfields. Hyperfields ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944336","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2375025
Frederick Cohen, M. Elhamdadi, Tao Jin, Minghui Liu
{"title":"On Schur algebras and derivations of free Lie algebras","authors":"Frederick Cohen, M. Elhamdadi, Tao Jin, Minghui Liu","doi":"10.1080/00927872.2024.2375025","DOIUrl":"https://doi.org/10.1080/00927872.2024.2375025","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141814037","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2376861
Yue Li, Yanyong Hong
Pre-Novikov algebras and quasi-Frobenius Novikov algebras naturally appear in the theory of Novikov bialgebras. In this paper, we show that there is a natural pre-Novikov algebra structure associat...
{"title":"Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras","authors":"Yue Li, Yanyong Hong","doi":"10.1080/00927872.2024.2376861","DOIUrl":"https://doi.org/10.1080/00927872.2024.2376861","url":null,"abstract":"Pre-Novikov algebras and quasi-Frobenius Novikov algebras naturally appear in the theory of Novikov bialgebras. In this paper, we show that there is a natural pre-Novikov algebra structure associat...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944334","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2374437
Emmy Lewis
Given a Noetherian ring A, the collection of integrally closed ideals in A which contain a nonzerodivisor forms a cancellative monoid under the operation I*J=IJ¯ , the integral closure of the produ...
{"title":"Factorization in the monoid of integrally closed ideals","authors":"Emmy Lewis","doi":"10.1080/00927872.2024.2374437","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374437","url":null,"abstract":"Given a Noetherian ring A, the collection of integrally closed ideals in A which contain a nonzerodivisor forms a cancellative monoid under the operation I*J=IJ¯ , the integral closure of the produ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944337","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}
Pub Date : 2024-07-22DOI: 10.1080/00927872.2024.2374429
Zilu Zhang, Liping Sun, Zhaoxin Li
Over a field of characteristic p > 2, firstly, the structure of Kac modules of Lie superalgebra P˜(2) and the weight space decompositions are given. Secondly, the weight-derivations of P˜(2) to i...
在特征 p > 2 的域上，首先给出了列超代数 P˜(2)的 Kac 模块结构和权重空间分解。其次，给出了 P˜(2)的权派生到 i...
{"title":"The first cohomology of lie superalgebra P̃(2) with coefficients in kac modules","authors":"Zilu Zhang, Liping Sun, Zhaoxin Li","doi":"10.1080/00927872.2024.2374429","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374429","url":null,"abstract":"Over a field of characteristic p > 2, firstly, the structure of Kac modules of Lie superalgebra P˜(2) and the weight space decompositions are given. Secondly, the weight-derivations of P˜(2) to i...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944332","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}
Pub Date : 2024-07-16DOI: 10.1080/00927872.2024.2372379
Hangyang Meng, Adolfo Ballester-Bolinches, Gil Kaplan
{"title":"Union of products of subgroups in finite groups","authors":"Hangyang Meng, Adolfo Ballester-Bolinches, Gil Kaplan","doi":"10.1080/00927872.2024.2372379","DOIUrl":"https://doi.org/10.1080/00927872.2024.2372379","url":null,"abstract":"","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141642146","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}
Pub Date : 2024-07-16DOI: 10.1080/00927872.2024.2370467
Kritsada Sangkhanan
Let V be a vector space and U a fixed subspace of V. We denote the semigroup of all linear transformations on V under composition of functions by L(V). In this paper, we study the semigroup of all ...
让 V 是一个向量空间，U 是 V 的一个固定子空间。我们用 L(V) 表示 V 上所有线性变换在函数组成下的半群。在本文中，我们将研究所有...
{"title":"Semigroups of linear transformations whose restrictions belong to a general linear group","authors":"Kritsada Sangkhanan","doi":"10.1080/00927872.2024.2370467","DOIUrl":"https://doi.org/10.1080/00927872.2024.2370467","url":null,"abstract":"Let V be a vector space and U a fixed subspace of V. We denote the semigroup of all linear transformations on V under composition of functions by L(V). In this paper, we study the semigroup of all ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944335","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}
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