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Modules close to SSP- and SIP-modules
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| dc.contributor.author | Abyzov A. | |
| dc.contributor.author | Nhan T. | |
| dc.contributor.author | Quynh T. | |
| dc.date.accessioned | 2018-09-19T22:10:56Z | |
| dc.date.available | 2018-09-19T22:10:56Z | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 1995-0802 | |
| dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/144825 | |
| dc.description.abstract | © 2017, Pleiades Publishing, Ltd.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.relation.ispartofseries | Lobachevskii Journal of Mathematics | |
| dc.subject | CS-Rickarts | |
| dc.subject | SIP-CS | |
| dc.subject | SIP-module | |
| dc.subject | SSP-module | |
| dc.title | Modules close to SSP- and SIP-modules | |
| dc.type | Article | |
| dc.relation.ispartofseries-issue | 1 | |
| dc.relation.ispartofseries-volume | 38 | |
| dc.collection | Публикации сотрудников КФУ | |
| dc.relation.startpage | 16 | |
| dc.source.id | SCOPUS19950802-2017-38-1-SID85013229340 |
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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.