发布求助
文献互助 智能选刊 最新文献

Algebra & Discrete Mathematics最新文献

筛选
英文 中文
On lifting and extending properties on direct sums of hollow uniform modules 关于空心均匀模的直接和的提升与扩展性质
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1643
Yoshiharu Shibata
{"title":"On lifting and extending properties on direct sums of hollow uniform modules","authors":"Yoshiharu Shibata","doi":"10.12958/adm1643","DOIUrl":"https://doi.org/10.12958/adm1643","url":null,"abstract":"A module M is said to belifting if, for anysubmodule N of M, there exists a direct summand X of M contained in N such that N/X is small in M/X. A module M is said to satisfy the finite internal exchange propertyif, for any direct summand X of M and any finite direct sum decomposition M=Lni=1Mi, there exists a direct summand M′i of Mi (i= 1,2, . . . , n) such that M=X⊕(Lni=1M′i). In this paper, we first give characterizations forthe square of a hollow and uniform module to be lifting (extending). In addition, we solve negatively the question \"Does any lifting module satisfy the finite internal exchange property?\" as an application of this result.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66418912","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
Mykola M. Semko (dedicated to the 65th Birthday) 尼古拉·m·塞姆科(献给65岁生日)
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm2062
{"title":"Mykola M. Semko (dedicated to the 65th Birthday)","authors":"","doi":"10.12958/adm2062","DOIUrl":"https://doi.org/10.12958/adm2062","url":null,"abstract":"We warmly congratulate N. N. Semko on his 65th birthday and wish him strong health and many successful years of research and teaching.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66421452","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
An amalgamation property for metric groups 度量群的合并属性
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1557
Jessica Popowicz, A. Ivanov
{"title":"An amalgamation property for metric groups","authors":"Jessica Popowicz, A. Ivanov","doi":"10.12958/adm1557","DOIUrl":"https://doi.org/10.12958/adm1557","url":null,"abstract":"In this paper we show that under some mild assumptions two copies of a metric group can be freely amalgamated over any central subgroup so that the distance between them is sufficiently small.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66418127","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
Generalized norms of groups: retrospective review and current status 群体的广义规范:回顾性回顾和现状
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1968
T. Lukashova, M. Drushlyak
{"title":"Generalized norms of groups: retrospective review and current status","authors":"T. Lukashova, M. Drushlyak","doi":"10.12958/adm1968","DOIUrl":"https://doi.org/10.12958/adm1968","url":null,"abstract":"In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of decomposable subgroups and relations between them.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66420519","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
On cofinitely ss-supplemented modules 在有限ss补充模块上
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1668
B. Türkmen, B. Kılıç
{"title":"On cofinitely ss-supplemented modules","authors":"B. Türkmen, B. Kılıç","doi":"10.12958/adm1668","DOIUrl":"https://doi.org/10.12958/adm1668","url":null,"abstract":"In this paper, we introduce the concept of (amply) cofinitely ss-supplemented modules as a proper generalization of (amply) ss-supplemented modules, and we provide various properties of these modules. In particular, we prove that arbitrary sum of cofinitely ss-supplemented modules is cofinitely ss-supplemented. Moreover, we show that a ring R is semiperfect and Rad(R)⊆Soc(RR) if and only if every left R-module (amply) cofinitely ss-supplemented.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66419387","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
Binary matroids that classify forests 分类森林的二元拟阵
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1759
L. Traldi
{"title":"Binary matroids that classify forests","authors":"L. Traldi","doi":"10.12958/adm1759","DOIUrl":"https://doi.org/10.12958/adm1759","url":null,"abstract":"Elementary arguments show that a tree or forest is determined (up to isomorphism) by binary matroids defined using the adjacency matrix.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66419739","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
Jacobson Hopfian modules Jacobson Hopfian模块
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1842
Abderrahim El Moussaouy, A. R. Moniri Hamzekolaee, M. Ziane
{"title":"Jacobson Hopfian modules","authors":"Abderrahim El Moussaouy, A. R. Moniri Hamzekolaee, M. Ziane","doi":"10.12958/adm1842","DOIUrl":"https://doi.org/10.12958/adm1842","url":null,"abstract":"The study of modules by properties of their endomorphisms has long been of interest. In this paper we introduce a proper generalization of that of Hopfian modules, called Jacobson Hopfian modules. A right R-module M is said to be Jacobson Hopfian, if any surjective endomorphism of M has a Jacobson-small kernel. We characterize the rings R for which every finitely generated free R-module is Jacobson Hopfian. We prove that a ring R is semisimple if and only if every R-module is Jacobson Hopfian. Some other properties and characterizations of Jacobson Hopfian modules are also obtained with examples. Further, we prove that the Jacobson Hopfian property is preserved under Morita equivalences.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66420039","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
The socle of Leavitt path algebras over a semiprime ring 半素数环上的Leavitt路径代数的集
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1850
K. Wardati
{"title":"The socle of Leavitt path algebras over a semiprime ring","authors":"K. Wardati","doi":"10.12958/adm1850","DOIUrl":"https://doi.org/10.12958/adm1850","url":null,"abstract":"The Reduction Theorem in Leavitt path algebra over a commutative unital ring is very important to prove that the Leavitt path algebra is semiprime if and only if the ring is also semiprime. Any minimal ideal in the semiprime ring and line point will construct a left minimal ideal in the Leavitt path algebra. Vice versa, any left minimal ideal in the semiprime Leavitt path algebra can be found both minimal ideal in the semiprime ring and line point that generate it. The socle of semiprime Leavitt path algebra is constructed by minimal ideals of the semiprime ring and the set of all line points.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66420239","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
Central and non central codes of dihedral 2-groups 二面体2-基团的中心和非中心编码
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1569
Shalini Gupta, P. Rani
{"title":"Central and non central codes of dihedral 2-groups","authors":"Shalini Gupta, P. Rani","doi":"10.12958/adm1569","DOIUrl":"https://doi.org/10.12958/adm1569","url":null,"abstract":"In this paper, the central and non central codesof semisimple dihedral group algebra FqG, over a finite field Fq, are constructed. Further the distances of these central and non central codes are computed.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66418528","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
A note on modular group algebras with upper Lie nilpotency indices 具有上李幂零指标的模群代数的一个注记
IF 0.2
Algebra & Discrete Mathematics Pub Date : 2022-01-01 DOI: 10.12958/adm1694
Suchi Bhatt, H. Chandra
{"title":"A note on modular group algebras with upper Lie nilpotency indices","authors":"Suchi Bhatt, H. Chandra","doi":"10.12958/adm1694","DOIUrl":"https://doi.org/10.12958/adm1694","url":null,"abstract":"Let KG be the modular group algebra of anarbitrary group G over a field K of characteristic p>0. In thispaper we give some improvements of upper Lie nilpotency indext L(KG) of the group algebra KG. It can be seen that if KG is Lie nilpotent, then its lower as well as upper Lie nilpotency index is atleast p+1. In this way the classification of group algebras KG with next upper Lie nilpotency indext L(KG) up to 9p−7 have alreadybeen classified. Furthermore, we give a complete classification ofmodular group algebraKGfor which the upper Lie nilpotency index is 10p−8.","PeriodicalId":44176,"journal":{"name":"Algebra & Discrete Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66419441","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 下一页 尾页
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：481959085
Book学术官方微信