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Communications in Algebra最新文献

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Factorization in rings of integer-valued rational functions 整值有理函数环中的因式分解
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-05 DOI: 10.1080/00927872.2024.2377811
Baian Liu
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引用次数: 0
Odd-order groups with small average number of zeros of characters 字符平均零数较少的奇数阶组
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-05 DOI: 10.1080/00927872.2024.2382813
Dongfang Yang, Yu Zeng
{"title":"Odd-order groups with small average number of zeros of characters","authors":"Dongfang Yang, Yu Zeng","doi":"10.1080/00927872.2024.2382813","DOIUrl":"https://doi.org/10.1080/00927872.2024.2382813","url":null,"abstract":"We define, and denote by anz(G), the average number of zeros of characters of a finite group G as the number of zeros in the character table of G dividing the number of irreducible characters of G....","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"198 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944327","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
Bounds on injective dimension and exceptional complete intersection maps 注入维度和特殊完全交集映射的界限
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-02 DOI: 10.1080/00927872.2024.2381825
Hossein Faridian
{"title":"Bounds on injective dimension and exceptional complete intersection maps","authors":"Hossein Faridian","doi":"10.1080/00927872.2024.2381825","DOIUrl":"https://doi.org/10.1080/00927872.2024.2381825","url":null,"abstract":"We prove that if f:R→S is a local homomorphism of noetherian local rings, and M is a non-zero finitely generated or artinian S-module whose injective dimension over R is bounded by the difference ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"30 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944338","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 relation of character codegrees and the minimal faithful quasi-permutation representation degree of p-groups 论字符编码度与 p 群最小忠实准畸变表示度的关系
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-02 DOI: 10.1080/00927872.2024.2379488
Sunil Kumar Prajapati, Ayush Udeep
{"title":"On the relation of character codegrees and the minimal faithful quasi-permutation representation degree of p-groups","authors":"Sunil Kumar Prajapati, Ayush Udeep","doi":"10.1080/00927872.2024.2379488","DOIUrl":"https://doi.org/10.1080/00927872.2024.2379488","url":null,"abstract":"For a finite group G, we denote by c(G) , the minimal degree of a faithful representation of G by quasi-permutation matrices over C . For an irreducible character χ of G, the codegree of χ is def...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"11 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944324","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
Picard-Vessiot extensions, linear differential algebraic groups, and their torsors Picard-Vessiot 扩展、线性微分代数群及其对数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-01 DOI: 10.1080/00927872.2024.2373374
David Meretzky, Anand Pillay
{"title":"Picard-Vessiot extensions, linear differential algebraic groups, and their torsors","authors":"David Meretzky, Anand Pillay","doi":"10.1080/00927872.2024.2373374","DOIUrl":"https://doi.org/10.1080/00927872.2024.2373374","url":null,"abstract":"Let K be a differential field with algebraically closed field of constants CK. Let KPV∞ be the (iterated) Picard-Vessiot closure of K. Let G be a linear differential algebraic group over K, and X a...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"41 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944328","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
Some factorization results for bivariate polynomials 二元多项式的一些因式分解结果
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-08-01 DOI: 10.1080/00927872.2024.2377390
Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh
{"title":"Some factorization results for bivariate polynomials","authors":"Nicolae Ciprian Bonciocat, Rishu Garg, Jitender Singh","doi":"10.1080/00927872.2024.2377390","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377390","url":null,"abstract":"We provide upper bounds on the total number of irreducible factors, and in particular irreducibility criteria for some classes of bivariate polynomials f(x, y) over an arbitrary field K. Our result...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"26 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944329","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
Applications of generalized universal valuations 广义普遍估值的应用
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-07-29 DOI: 10.1080/00927872.2024.2369906
William Bernardoni
{"title":"Applications of generalized universal valuations","authors":"William Bernardoni","doi":"10.1080/00927872.2024.2369906","DOIUrl":"https://doi.org/10.1080/00927872.2024.2369906","url":null,"abstract":"We introduce a generalization of the universal valuation semiring defined by Jeffrey and Noah Giansiracusa. We then explicitly characterize the additive structure of this semiring and show that, wh...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"373 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944330","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
Tensor product and quandle rings of connected quandles of prime order 张量积和素数阶相连阶环
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-07-23 DOI: 10.1080/00927872.2024.2374430
Dilpreet Kaur, Pushpendra Singh
{"title":"Tensor product and quandle rings of connected quandles of prime order","authors":"Dilpreet Kaur, Pushpendra Singh","doi":"10.1080/00927872.2024.2374430","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374430","url":null,"abstract":"Let C be field of complex numbers and X be a connected quandle of prime order. We study the regular representation of X by describing the quandle ring C[X] as direct sum of right simple ideals. W...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":"80 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2024-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141944331","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
The local-global principle for the artinianness dimensions 艺术性维度的局部-全局原理
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-07-22 DOI: 10.1080/00927872.2024.2371559
Jingwen Shen, Xiaoyan Yang
{"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":"81 1","pages":""},"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}
引用次数: 0
Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras 准弗罗贝纽斯诺维科夫代数和前诺维科夫双代数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-07-22 DOI: 10.1080/00927872.2024.2376861
Yue Li, Yanyong Hong
{"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":"39 1","pages":""},"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}
引用次数: 0
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