ON COFINITELY WEAK RAD-SUPPLEMENTED MODULES

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Eryılmaz F., Eren Ş.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.66, no.1, pp.92-97, 2017 (ESCI)

• Publication Type: Article / Article
• Volume: 66 Issue: 1
• Publication Date: 2017
• Doi Number: 10.1501/commual_0000000778
• Journal Name: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Page Numbers: pp.92-97
• Keywords: Cofinite Submodule, Cofinitely Weak Rad-Supplemented Module, Totally Cofinitely Weak Rad-Supplemented Module, Noetherian V-ring, RINGS, SEMIPERFECT, EXTENSIONS
• Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, necessary and sufficient conditions for a quotient module are found to be a cofinitely weak Rad-supplemented module under which circumstances. Nevertheless, some relations are investigated between cofinitely Rad-supplemented modules and cofinitely weak Rad-supplemented modules. Lastly, we show that an arbitrary ring R is a left Noetherian V - ring if and only if every weak Rad-supplemented R - module is injective.