Modules which have a rad-supplement that is a direct summand in every extension

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2018
• ISSN: 1726-3255
• Hauptverfasser: Türkmen, B.N., Türkmen, E.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188355
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...