ON T-NONCOSINGULAR MODULES

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Atıf İçin Kopyala

Tutuncu D., Tribak R.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.80, sa.3, ss.462-471, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 80 Sayı: 3
• Basım Tarihi: 2009
• Doi Numarası: 10.1017/s0004972709000409
• Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.462-471
• Hacettepe Üniversitesi Adresli: Evet

Özet

In this paper we introduce T-noncosingular modules. Rings for which all right modules are T-noncosingular are shown to be precisely those for which every simple right module is injective. Moreover, for any ring R we show that the right R-module R is T-noncosingular precisely when R has zero Jacobson radical. We also study the T-noncosingular condition in association with (strongly) FI-lifting modules.