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dc.contributor.author |
Türkmen, B.N. |
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dc.contributor.author |
Türkmen, E. |
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dc.date.accessioned |
2023-02-23T19:42:28Z |
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dc.date.available |
2023-02-23T19:42:28Z |
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dc.date.issued |
2018 |
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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 |
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dc.identifier.other |
2010 MSC: 16D10, 16D50, 16N80. |
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dc.identifier.uri |
http://dspace.nbuv.gov.ua/handle/123456789/188355 |
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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 |
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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 |
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