Journals / Turkish Journal of Mathematics / 2006 / Cilt: 30 - Sayı: 3
On Reduced and Semicommutative Modules
- Pages
- 285–291
- DOI
- —
Abstract
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicommutative if and only if MR is reduced. (2) If MR is a p.p.-module then MR is nonsingular.
Özet
In this paper, various results of reduced and semicommutative rings are extended to reduced and semicommutative modules. In particular, we show: (1) For a principally quasi-Baer module, MR is semicommutative if and only if MR is reduced. (2) If MR is a p.p.-module then MR is nonsingular.