Retractable and Coretractable Modules

dc.contributor.author	Abyzov A.
dc.contributor.author	Tuganbaev A.
dc.date.accessioned	2018-09-19T21:03:05Z
dc.date.available	2018-09-19T21:03:05Z
dc.date.issued	2016
dc.identifier.issn	1072-3374
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/143529
dc.description.abstract	© 2016 Springer Science+Business Media New York In this paper, we study mod-retractable modules, CSL-modules, fully Kasch modules, and their interrelations. Right fully Kasch rings are described. It is proved that for a module M of finite length, the following conditions are equivalent. (1) In the category σ(M), every module is retractable. (2) In the category σ(M), every module is coretractable. (3) M is a CSL-module. (4) ExtR 1(S1, S2) = 0 for any two simple nonisomorphic modules S1, S2 ∈ σ(M). (5) M is a fully Kasch module.
dc.relation.ispartofseries	Journal of Mathematical Sciences (United States)
dc.title	Retractable and Coretractable Modules
dc.type	Article in Press
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1
dc.source.id	SCOPUS10723374-2016-SID84954533376

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