发布求助
文献互助 智能选刊 最新文献

arXiv: Rings and Algebras最新文献

筛选
英文 中文
Hom-Lie-Yamaguti Superalgebras
arXiv: Rings and Algebras Pub Date : 2017-11-01 DOI: 10.11568/kjm.2019.27.1.175
D. Gaparayi, S. Attan
{"title":"Hom-Lie-Yamaguti Superalgebras","authors":"D. Gaparayi, S. Attan","doi":"10.11568/kjm.2019.27.1.175","DOIUrl":"https://doi.org/10.11568/kjm.2019.27.1.175","url":null,"abstract":"(Multiplicative) Hom-Lie-Yamaguti superalgebras which generalize Hom-Lie supertriple systems (and subsequently ternary multiplicative Hom-Nambu superalgebras) and Hom-Lie superalgebras in the same way as Lie-Yamaguti superalgebras [Frac] generalize Lie supertriple systems and Lie superalgebras are defined. We show that the category of (multiplicative) Hom-Lie-Yamaguti superalgebras is closed under twisting by self-morphisms. Construction of some examples of Hom-Lie-Yamaguti superalgebras is given. The notion of an $n^{th}-$derived (binary) Hom-superalgebras is extended to the one of an $n^{th}-$derived binary-ternary Hom-superalgebras and it is shown that the category of Hom-Lie-Yamaguti superalgebras is closed under the process of taking $n^{th}-$ derived Hom-superalgebras.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129456940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Hochshild cohomology of the associative conformal algebra Cend_{1,x} 共轭共形代数Cend_{1,x}的hochschild上同调
arXiv: Rings and Algebras Pub Date : 2017-10-09 DOI: 10.33048/alglog.2019.58.104
R. Kozlov
{"title":"Hochshild cohomology of the associative conformal algebra Cend_{1,x}","authors":"R. Kozlov","doi":"10.33048/alglog.2019.58.104","DOIUrl":"https://doi.org/10.33048/alglog.2019.58.104","url":null,"abstract":"It is established in this work that second Hochshild cohomology group of the associative conformal algebra Cend_{1,x} is zero. As a corollary, this algebra split off in each extension with a nilpotent kernel. \u0000Key words: associative conformal algebra, splitting off radical, Hochshild cohomology.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114453811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Rings in which every unit is a sum of a nilpotent and an idempotent 环中每个单位都是幂零和幂等的和
arXiv: Rings and Algebras Pub Date : 2017-10-06 DOI: 10.1090/conm/715/14412
Arezou Karimi-Mansoub, Tamer Košan, Yiqiang Zhou
{"title":"Rings in which every unit is a sum of a nilpotent and an idempotent","authors":"Arezou Karimi-Mansoub, Tamer Košan, Yiqiang Zhou","doi":"10.1090/conm/715/14412","DOIUrl":"https://doi.org/10.1090/conm/715/14412","url":null,"abstract":"A ring $R$ is a UU ring if every unit is unipotent, or equivalently if every unit is a sum of a nilpotent and an idempotent that commute. These rings have been investigated in Cu{a}lugu{a}reanu cite{C} and in Danchev and Lam cite{DL}. In this paper, two generalizations of UU rings are discussed. We study rings for which every unit is a sum of a nilpotent and an idempotent, and rings for which every unit is a sum of a nilpotent and two idempotents that commute with one another.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129608226","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Rota-Baxter operators of zero weight on simple Jordan algebra of Clifford type Clifford型简单Jordan代数上的零权Rota-Baxter算子
arXiv: Rings and Algebras Pub Date : 2017-10-06 DOI: 10.17377/semi.2017.14.131
V. Gubarev
{"title":"Rota-Baxter operators of zero weight on simple Jordan algebra of Clifford type","authors":"V. Gubarev","doi":"10.17377/semi.2017.14.131","DOIUrl":"https://doi.org/10.17377/semi.2017.14.131","url":null,"abstract":"It is proved that any Rota---Baxter operator of zero weight on Jordan algebra of a nondegenerate bilinear symmetric form is nilpotent of index less or equal three. We state exact value of nilpotency index on simple Jordan algebra of Clifford type over fields $mathbb{R}$, $mathbb{C}$, and $mathbb{Z}_p$. For $mathbb{Z}_p$, we essentially use the results from number theory concerned quadratic residues and Chevalley---Warning theorem.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"241 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121317400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Software for doing computations in graded Lie algebras 用于分级李代数计算的软件
arXiv: Rings and Algebras Pub Date : 2017-08-19 DOI: 10.2140/jsag.2021.11.9
Clas Lofwall, S. Lundqvist
{"title":"Software for doing computations in graded Lie algebras","authors":"Clas Lofwall, S. Lundqvist","doi":"10.2140/jsag.2021.11.9","DOIUrl":"https://doi.org/10.2140/jsag.2021.11.9","url":null,"abstract":"We introduce the Macaulay2 package GradedLieAlgebras for doing computations in graded Lie algebras presented by generators and relations.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"122 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114909108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Local automorphisms on finite-dimensional Lie and Leibniz algebras. 有限维李代数和莱布尼兹代数上的局部自同构。
arXiv: Rings and Algebras Pub Date : 2017-08-08 DOI: 10.1007/978-3-030-01144-4_3
Sh. A. Ayupov, K. Kudaybergenov
{"title":"Local automorphisms on finite-dimensional Lie and Leibniz algebras.","authors":"Sh. A. Ayupov, K. Kudaybergenov","doi":"10.1007/978-3-030-01144-4_3","DOIUrl":"https://doi.org/10.1007/978-3-030-01144-4_3","url":null,"abstract":"","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"44 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123565115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
The automorphism groups and derivation algebras of two-dimensional algebras 二维代数的自同构群与导数代数
arXiv: Rings and Algebras Pub Date : 2017-08-04 DOI: 10.4172/1736-4337.1000290
Houida Ahmed, U. Bekbaev, I. Rakhimov
{"title":"The automorphism groups and derivation algebras of two-dimensional algebras","authors":"Houida Ahmed, U. Bekbaev, I. Rakhimov","doi":"10.4172/1736-4337.1000290","DOIUrl":"https://doi.org/10.4172/1736-4337.1000290","url":null,"abstract":"The automorphisms groups and derivation algebras of all two-dimensional algebras over algebraically closed fields are described.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124132493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Derivatives of triangular, Toeplitz, circulant matrices and of matrices of other forms over semirings 半环上三角矩阵、托普利兹矩阵、循环矩阵和其他形式矩阵的导数
arXiv: Rings and Algebras Pub Date : 2017-07-15 DOI: 10.1063/1.5014000
D. Vladeva
{"title":"Derivatives of triangular, Toeplitz, circulant matrices and of matrices of other forms over semirings","authors":"D. Vladeva","doi":"10.1063/1.5014000","DOIUrl":"https://doi.org/10.1063/1.5014000","url":null,"abstract":"In this article we construct examples of derivations in matrix semirings. We study hereditary and inner derivations, derivatives of diagonal, triangular, Toeplitz, circulant matrices and of matrices of other forms and prove theorems for derivatives of matrices of these forms.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"178 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133252052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Vertex rings and their Pierce bundles 顶点环和它们的皮尔斯束
arXiv: Rings and Algebras Pub Date : 2017-07-02 DOI: 10.1090/CONM/711/14303
G. Mason
{"title":"Vertex rings and their Pierce bundles","authors":"G. Mason","doi":"10.1090/CONM/711/14303","DOIUrl":"https://doi.org/10.1090/CONM/711/14303","url":null,"abstract":"In part I we introduce vertex rings, which bear the same relation to vertex algebras (or VOAs) as commutative, associative rings do to commutative, associative algebras over the complex numbers. We show that vertex rings are characterized by Goddard axioms. These include a generalization of the translation-covariance axiom of VOA theory that involves a canonical Hasse-Schmidt derivation naturally associated to any vertex ring. We give several illustrative applications of these axioms, including the construction of vertex rings associated with the Virasoro algebra. We consider some categories of vertex rings, and the role played by the center of a vertex ring. In part II we extend the theory of Pierce bundles associated to a commutative ring to the setting of vertex rings. This amounts to the construction of certain reduced etale bundles of vertex rings functorially associated to a vertex ring. We introduce von Neumann regular vertex rings as a generalization of von Neumann regular commutative rings; we obtain a characterization of this class of vertex rings as those whose Pierce bundles are bundles of simple vertex rings.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132529775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
The Polypermutation Group of an Associative Ring 结合环的多置换群
arXiv: Rings and Algebras Pub Date : 2017-07-02 DOI: 10.37256/CM.212021456
Jason K. C. Polák
{"title":"The Polypermutation Group of an Associative Ring","authors":"Jason K. C. Polák","doi":"10.37256/CM.212021456","DOIUrl":"https://doi.org/10.37256/CM.212021456","url":null,"abstract":"We study permutation polynomials through the device of the emph{polypermutation group} of an associative ring $R$, denoted by ${rm Pgr}(R)$. We derive some basic properties and compute the cardinality of ${rm Pgr}(mathbb{Z}/p^k)$ when $pgeq k$. We use this computation to determine the structure of ${rm Pgr}(mathbb{Z}/p^2)$.","PeriodicalId":233322,"journal":{"name":"arXiv: Rings and Algebras","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127636626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书