ON COFINITELY WEAK RAD-SUPPLEMENTED MODULES

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Atıf İçin Kopyala

Eryılmaz F., Eren Ş.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.1, ss.92-97, 2017 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 66 Sayı: 1
• Basım Tarihi: 2017
• Doi Numarası: 10.1501/commual_0000000778
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.92-97
• Anahtar Kelimeler: Cofinite Submodule, Cofinitely Weak Rad-Supplemented Module, Totally Cofinitely Weak Rad-Supplemented Module, Noetherian V-ring, RINGS, SEMIPERFECT, EXTENSIONS
• Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

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.