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періодичних видань НАН України
періодичних видань НАН України
Modules which have a rad-supplement that is a direct summand in every extension
Репозиторій DSpace/Manakin
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| dc.contributor.author | Türkmen, B.N. | |
| dc.contributor.author | Türkmen, E. | |
| dc.date.accessioned | 2023-02-23T19:42:28Z | |
| dc.date.available | 2023-02-23T19:42:28Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Modules which have a rad-supplement that is a direct summand in every extension / B.N. Türkmen, E. Türkmen // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 1. — С. 157-164. — Бібліогр.: 12 назв. — англ. | uk_UA |
| dc.identifier.issn | 1726-3255 | |
| dc.identifier.other | 2010 MSC: 16D10, 16D50, 16N80. | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/188355 | |
| dc.description.abstract | In this paper, we introduce the concept of modules with the properties (RE) and (SRE), and we provide various properties of these modules. In particular,we prove that a semisimple module M is Rad-supplementing if and only if M has the property (SRE). Moreover, we show that a ring R is a left V-ring if and only if every left R-module with the property (RE) is injective. Finally, we characterize the rings whose modules have the properties (RE) and (SRE). | uk_UA |
| dc.description.sponsorship | The authors sincerely thank the referee for many valuable suggestions and comments in the revision of this paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут прикладної математики і механіки НАН України | uk_UA |
| dc.relation.ispartof | Algebra and Discrete Mathematics | |
| dc.title | Modules which have a rad-supplement that is a direct summand in every extension | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
