Rings whose CS modules are countably Sigma-CS

Er N. F.

COMMUNICATIONS IN ALGEBRA, cilt.31, sa.11, ss.5513-5523, 2003 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 11
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1081/agb-120023971
  • Dergi Adı: COMMUNICATIONS IN ALGEBRA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5513-5523
  • Yıldız Teknik Üniversitesi Adresli: Hayır

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.