KFU. Card publication. Modules close to SSP- and SIP-modules

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FEDERAL UNIVERSITY

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MODULES CLOSE TO SSP- AND SIP-MODULES

Form of presentation

Articles in Russian journals and collections

Year of publication

2017

Язык

английский

Authors, employees of KFU

Abyzov Adel Nailevich, author

Other authors

Tran Hoai Ngoc Nhan, author

Truong Cong Quynh, author

Bibliographic description in the original language

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. - R. 16–23.

Annotation

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.

Keywords

SSP-moduleSIP-moduleSIP-CSCS-Rickarts

The name of the journal

Lobachevskii Journal of Mathematics

On-line resource for training course

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/109814/Modules_Close_to_SSP__and_SIP_Modules.pdf?sequence=1&isAllowed=y

URL

http://link.springer.com/article/10.1134/S1995080217010024

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=152029&p_lang=2

Resource files

File name	Size (MB)	Format
Modules_Close_to_SSP__and_SIP_Modules.pdf	0,52	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Abyzov Adel Nailevich	ru_RU
dc.contributor.author	Tran Hoai Ngoc Nhan	ru_RU
dc.contributor.author	Truong Cong Quynh	ru_RU
dc.date.accessioned	2017-01-01T00:00:00Z	ru_RU
dc.date.available	2017-01-01T00:00:00Z	ru_RU
dc.date.issued	2017	ru_RU
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.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=152029&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Modules close to SSP- and SIP-modules	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU