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Communications in Algebra最新文献

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Commutative rings in which every S-finite ideal is projective 每个 Sinite 理想都是投影的交换环
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-17 DOI: 10.1080/00927872.2024.2398623
Mohamed Chhiti, Hwankoo Kim, Salah Eddine Mahdou
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引用次数: 0
The role of semicentral idempotents in triangular matrix rings 三角形矩阵环中的半中心幂等式的作用
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-17 DOI: 10.1080/00927872.2024.2398629
D. I. Vladeva
{"title":"The role of semicentral idempotents in triangular matrix rings","authors":"D. I. Vladeva","doi":"10.1080/00927872.2024.2398629","DOIUrl":"https://doi.org/10.1080/00927872.2024.2398629","url":null,"abstract":"The circle composition e1°e2=e1+e2−e1e2 is well-known from the seminal book of Jacobson. A part of our motivation aims to find non-orthogonal idempotents e1 and e2 such that e1°e2 is an idempotent....","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142258270","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
Right ideal decompositions of nearrings with faithful 2-step modules 具有忠实两步模块的新环的右理想分解
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-12 DOI: 10.1080/00927872.2024.2398632
Gary L. Peterson, Stuart D. Scott
{"title":"Right ideal decompositions of nearrings with faithful 2-step modules","authors":"Gary L. Peterson, Stuart D. Scott","doi":"10.1080/00927872.2024.2398632","DOIUrl":"https://doi.org/10.1080/00927872.2024.2398632","url":null,"abstract":"When N is a left nearring with identity satisfying the descending chain condition on right ideals N can be written as a direct sum of nonzero right ideals that cannot be further decomposed into dir...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206029","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
Hopf bracoids 霍普夫蝶形花
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-11 DOI: 10.1080/00927872.2024.2395975
José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez
{"title":"Hopf bracoids","authors":"José Manuel Fernández Vilaboa, Ramón González Rodríguez, Brais Ramos Pérez","doi":"10.1080/00927872.2024.2395975","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395975","url":null,"abstract":"The present article is devoted to introduce the notion of Hopf bracoid in the braided monoidal framework as the quantum version of skew bracoids, which have been presented by Martin-Lyons and Truma...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206028","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
Quaternionic p-adic continued fractions 四元 p-adic 续分数
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-07 DOI: 10.1080/00927872.2024.2395707
Laura Capuano, Marzio Mula, Lea Terracini
{"title":"Quaternionic p-adic continued fractions","authors":"Laura Capuano, Marzio Mula, Lea Terracini","doi":"10.1080/00927872.2024.2395707","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395707","url":null,"abstract":"We develop a theory of p-adic continued fractions for a quaternion algebra B over Q ramified at a rational prime p. Many properties holding in the commutative case can be proven also in this settin...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206030","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
Gorenstein projective and weak Gorenstein flat modules 戈伦斯坦投影模块和弱戈伦斯坦平面模块
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-06 DOI: 10.1080/00927872.2024.2395988
Jun Dong, Jie Wei
{"title":"Gorenstein projective and weak Gorenstein flat modules","authors":"Jun Dong, Jie Wei","doi":"10.1080/00927872.2024.2395988","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395988","url":null,"abstract":"Let R be a ring such that all flat R-modules have finite strongly FP-injective dimension. We obtain that the class of all Gorenstein projective modules forms a left-hand class of complete and hered...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206031","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
Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov algebras 双交换、同对称和诺维科夫代数的无势性、可解性和弗拉蒂尼理论
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-05 DOI: 10.1080/00927872.2024.2394969
David A. Towers
{"title":"Nilpotency, solvability and Frattini theory for bicommutative, assosymmetric and Novikov algebras","authors":"David A. Towers","doi":"10.1080/00927872.2024.2394969","DOIUrl":"https://doi.org/10.1080/00927872.2024.2394969","url":null,"abstract":"This paper starts by showing that, for algebras in a certain class, the concepts of weak nilpotency and nilpotency coincide. It goes on to describe some solvability and nilpotency properties of bic...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206039","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
Rational conic fibrations containing special curves transverse to the fibers 包含横穿纤维的特殊曲线的有理圆锥纤维
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-03 DOI: 10.1080/00927872.2024.2393693
Antonio Lanteri, Raquel Mallavibarrena
{"title":"Rational conic fibrations containing special curves transverse to the fibers","authors":"Antonio Lanteri, Raquel Mallavibarrena","doi":"10.1080/00927872.2024.2393693","DOIUrl":"https://doi.org/10.1080/00927872.2024.2393693","url":null,"abstract":"Rational conic fibrations embedded in PN and containing an irreducible curve C transverse to the fibers are classified when C is either a plane curve or a rational normal curve of any degree d. Th...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206032","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 fusible rings and related notions 关于可熔环和相关概念
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-03 DOI: 10.1080/00927872.2024.2392010
P. Bhattacharjee, W.Wm. McGovern, Y. Zhou
{"title":"On fusible rings and related notions","authors":"P. Bhattacharjee, W.Wm. McGovern, Y. Zhou","doi":"10.1080/00927872.2024.2392010","DOIUrl":"https://doi.org/10.1080/00927872.2024.2392010","url":null,"abstract":"A ring is called left fusible if each of its nonzero elements is the sum of a left zero-divisor and a non-left zero-divisor. This paper aims to extend the existing theory of left fusible rings and ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206033","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 irreducible representation of cover of Lie algebras 论覆盖李代数的不可还原表征
IF 0.7 3区 数学
Communications in Algebra Pub Date : 2024-09-02 DOI: 10.1080/00927872.2024.2395974
S. N. Arjun, P. G. Romeo
{"title":"On irreducible representation of cover of Lie algebras","authors":"S. N. Arjun, P. G. Romeo","doi":"10.1080/00927872.2024.2395974","DOIUrl":"https://doi.org/10.1080/00927872.2024.2395974","url":null,"abstract":"Batten introduced the concept of a cover for Lie algebras in [3]. In this article, we describe the irreducible representation of cover of Lie algebras by establishing a bijective correspondence bet...","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":"142206035","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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