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Modules which have a rad-supplement that is a direct summand in every extension
Репозиторій DSpace/Manakin
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Modules which have a rad-supplement that is a direct summand in every extension
Інший ID:
2010 MSC: 16D10, 16D50, 16N80.
Посилання:
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.
Підтримка:
The authors sincerely thank the referee for many valuable suggestions and comments in the revision of this paper.
Дата:
2018
Переглядів:
171
Завантажень:
61
Анотація:
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).
