Pub Date : 2024-08-16DOI: 10.1080/00927872.2024.2388283
T. Anitha, R. Rajkumar
We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of these graphs of seve...
我们描述了有限群的有向还原幂图和无向还原幂图的全自形群。我们计算了这些图的几个全自形群。
{"title":"Automorphism group of the reduced power (di)graph of a finite group","authors":"T. Anitha, R. Rajkumar","doi":"10.1080/00927872.2024.2388283","DOIUrl":"https://doi.org/10.1080/00927872.2024.2388283","url":null,"abstract":"We describe the full automorphism group of the directed reduced power graph and the undirected reduced power graph of a finite group. We compute the full automorphism groups of these graphs of seve...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205996","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 : 2024-08-16DOI: 10.1080/00927872.2024.2374436
Xin Ma, Panyue Zhou
Let (A,B,C) be a recollement of extriangulated categories. In this paper, we provide bounds on the coresolution dimensions of the subcategories involved in A, B , and C . We show that a hereditary...
设 (A,B,C) 是一个外延范畴的重组。在本文中，我们提供了 A、B 和 C 所涉及子范畴的核解维数的边界。我们证明了遗传...
{"title":"Dimensions and cotorsion pairs in recollements of extriangulated categories","authors":"Xin Ma, Panyue Zhou","doi":"10.1080/00927872.2024.2374436","DOIUrl":"https://doi.org/10.1080/00927872.2024.2374436","url":null,"abstract":"Let (A,B,C) be a recollement of extriangulated categories. In this paper, we provide bounds on the coresolution dimensions of the subcategories involved in A, B , and C . We show that a hereditary...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205997","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 : 2024-08-15DOI: 10.1080/00927872.2024.2384056
Stefano Canino, Alessandro Gimigliano, Monica Idà
We study the Jacobian scheme of a plane algebraic curve at an ordinary singularity, characterizing it through a geometric property. We give an algorithm that gives the analytic type of a double poi...
{"title":"On the Jacobian scheme of a plane curve","authors":"Stefano Canino, Alessandro Gimigliano, Monica Idà","doi":"10.1080/00927872.2024.2384056","DOIUrl":"https://doi.org/10.1080/00927872.2024.2384056","url":null,"abstract":"We study the Jacobian scheme of a plane algebraic curve at an ordinary singularity, characterizing it through a geometric property. We give an algorithm that gives the analytic type of a double poi...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205994","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 : 2024-08-15DOI: 10.1080/00927872.2024.2389949
Donovan Leyba, Zachary Mesyan, Greg Oman
In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theorems on (left) Arti...
在这篇论文中，我们引入了一个非常粗糙但自然的概念，即环 R 上左 R 模块类的度量概念。
{"title":"Unifying some classical results on Artinian rings and modules","authors":"Donovan Leyba, Zachary Mesyan, Greg Oman","doi":"10.1080/00927872.2024.2389949","DOIUrl":"https://doi.org/10.1080/00927872.2024.2389949","url":null,"abstract":"In this note, we introduce a very crude but natural notion of measure on the class of left R-modules over a ring R. We use this notion to give short proofs of some classical theorems on (left) Arti...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205998","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 : 2024-08-14DOI: 10.1080/00927872.2024.2388282
David A. Towers
This paper is concerned with generalizing the results for Lie CT-algebras to Leibniz algebras. In some cases our results give a generalization even for the case of a Lie algebra. Results on A-algeb...
{"title":"Leibniz algebras in which all centralizers of nonzero elements are zero algebras","authors":"David A. Towers","doi":"10.1080/00927872.2024.2388282","DOIUrl":"https://doi.org/10.1080/00927872.2024.2388282","url":null,"abstract":"This paper is concerned with generalizing the results for Lie CT-algebras to Leibniz algebras. In some cases our results give a generalization even for the case of a Lie algebra. Results on A-algeb...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206003","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 : 2024-08-14DOI: 10.1080/00927872.2024.2389956
Adrian Barquero-Sanchez, Jimmy Calvo-Monge
In this paper we make explicit an application of the wreath product construction to the Galois groups of field extensions. More precisely, given a tower of fields F⊆K⊆L with L/F finite and separab...
{"title":"On the embedding of Galois groups into wreath products","authors":"Adrian Barquero-Sanchez, Jimmy Calvo-Monge","doi":"10.1080/00927872.2024.2389956","DOIUrl":"https://doi.org/10.1080/00927872.2024.2389956","url":null,"abstract":"In this paper we make explicit an application of the wreath product construction to the Galois groups of field extensions. More precisely, given a tower of fields F⊆K⊆L with L/F finite and separab...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206000","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 : 2024-08-14DOI: 10.1080/00927872.2024.2389975
Nripendu Bera, Basudeb Dhara
Let R be a prime ring of characteristic not equal to 2, Z(R) its center, Qr its right Martindale quotient ring, C its extended centroid, f(x1,…,xn) a non-central multilinear polynomial over C and ...
假设 R 是特性不等于 2 的素环，Z(R) 是其中心，Qr 是其右马丁代尔商环，C 是其扩展中心点，f(x1,...,xn) 是 C 上的非中心多项式，并且 ...
{"title":"b-generalized skew derivations acting on multilinear polynomials in prime rings","authors":"Nripendu Bera, Basudeb Dhara","doi":"10.1080/00927872.2024.2389975","DOIUrl":"https://doi.org/10.1080/00927872.2024.2389975","url":null,"abstract":"Let R be a prime ring of characteristic not equal to 2, Z(R) its center, Qr its right Martindale quotient ring, C its extended centroid, f(x1,…,xn) a non-central multilinear polynomial over C and ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142205999","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 : 2024-08-13DOI: 10.1080/00927872.2024.2377803
Hussein Eid, Yasser Ibrahim
Let M be a right R-module. We call a summand A of M a special summand if there exists a summand B of M with A≅B and A∩B=0. An internal direct sum ⊕i∈IAi of submodules Ai of M is called a special lo...
设 M 是一个右 R 模块。如果存在一个 A≅B且 A∩B=0 的 M 求和 B，我们称 M 的求和 A 为特殊求和。
{"title":"New classes of modules for which the finite exchange property implies the full exchange property","authors":"Hussein Eid, Yasser Ibrahim","doi":"10.1080/00927872.2024.2377803","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377803","url":null,"abstract":"Let M be a right R-module. We call a summand A of M a special summand if there exists a summand B of M with A≅B and A∩B=0. An internal direct sum ⊕i∈IAi of submodules Ai of M is called a special lo...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226340","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 : 2024-08-13DOI: 10.1080/00927872.2024.2377805
Shrinit Singh, A. Satyanarayana Reddy
A word w in a free group is achiral if for every group G, Gw=Gw−1, where Gw is the image of the word map w on G. We give few classes of examples of achiral words. We prove that all words in F2 of l...
如果对每个群 G 而言，Gw=Gw-1，其中 Gw 是词映射 w 在 G 上的映像，那么自由群中的词 w 就是非手性的。我们证明了 F2 中所有词的长...
{"title":"Achiral words","authors":"Shrinit Singh, A. Satyanarayana Reddy","doi":"10.1080/00927872.2024.2377805","DOIUrl":"https://doi.org/10.1080/00927872.2024.2377805","url":null,"abstract":"A word w in a free group is achiral if for every group G, Gw=Gw−1, where Gw is the image of the word map w on G. We give few classes of examples of achiral words. We prove that all words in F2 of l...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142206001","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 : 2024-08-13DOI: 10.1080/00927872.2024.2387049
André Leroy, Huda Merdach
We give the basic structure of the multivariable Ore extensions S=A[t¯;σ,δ¯] introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT’s) are introduced ...
{"title":"Structure and arithmetic of multivariate Ore extensions","authors":"André Leroy, Huda Merdach","doi":"10.1080/00927872.2024.2387049","DOIUrl":"https://doi.org/10.1080/00927872.2024.2387049","url":null,"abstract":"We give the basic structure of the multivariable Ore extensions S=A[t¯;σ,δ¯] introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT’s) are introduced ...","PeriodicalId":50663,"journal":{"name":"Communications in Algebra","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142226339","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：