Modules close to SSP- and SIP-modules

Tran Hoai Ngoc Nhan; Abyzov Adel Nailevich; Truong Cong Quynh

dc.contributor	Казанский федеральный университет
dc.contributor.author	Abyzov Adel Nailevich
dc.contributor.author	Tran Hoai Ngoc Nhan
dc.contributor.author	Truong Cong Quynh
dc.date.accessioned	2017-02-20T11:27:14Z
dc.date.available	2017-02-20T11:27:14Z
dc.date.issued	2017
dc.identifier.citation	Abyzov, A. N. Modules close to SSP- and SIP-modules / A. N. Abyzov, Tran Hoai Ngoc Nhan, Truong Cong Quynh // Lobachevskii Journal of Mathematics. - 2017. - Vol. 38. - № 1. - Р. 16-23.
dc.identifier.uri	http://dspace.kpfu.ru/xmlui/handle/net/109814
dc.description.abstract	In this paper, we investigate some properties of SIP, SSP and CS-Rickart modules. We give equivalent conditions for SIP and SSP modules; establish connections between the class of semisimple artinian rings and the class of SIP rings. It shows that R is a semisimple artinian ring if and only if RR is SIP and every right R-module has a SIP-cover. We also prove that R is a semiregular ring and J(R) = Z(RR) if only if every finitely generated projective module is a CSRickart module which is also a C2 module.
dc.language.iso	en
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.rights	открытый доступ
dc.subject	SSP-moduleSIP-moduleSIP-CSCS-Rickarts
dc.subject.other	Математика
dc.title	Modules close to SSP- and SIP-modules
dc.type	Article
dc.contributor.org	Институт математики и механики им.Н.И.Лобачевского
dc.description.pages
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	38
dc.pub-id	152029