Modules which have a rad-supplement that is a direct summand in every extension
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...
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Date: | 2018 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2018
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188355 |
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Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Cite this: | 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. |