Rings whose CS modules are countably Sigma-CS


Er N. F.

COMMUNICATIONS IN ALGEBRA, cilt.31, ss.5513-5523, 2003 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 31 Konu: 11
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1081/agb-120023971
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Sayfa Sayısı: ss.5513-5523

Özet

A module M is called a CS module if every submodule of M is essential in a direct summand of M. In this paper, among other results, we prove that for a ring R with finitely generated right socle the following are equivalent: i) For every CS right R-module M, M-(N) is CS; ii) R is a right artinian ring with all uniforms Sigma-quasi-injective.