Rings whose CS modules are countably Sigma-CS
COMMUNICATIONS IN ALGEBRA, cilt.31, sa.11, ss.5513-5523, 2003 (SCI-Expanded, Scopus)
- 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.