ON T-NONCOSINGULAR MODULES


Tutuncu D. , Tribak R.

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.80, ss.462-471, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 80 Konu: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1017/s0004972709000409
  • Dergi Adı: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.462-471

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.