On Reduced and Semicommutative Modules

Authors: MUHİTTİN BAŞER, NAZIM AGAYEV

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, M_R is semicommutative if and only if M_R is reduced. (2) If M_R is a p.p.-module then M_R is nonsingular.

Keywords: Reduced Rings (Modules), Baer, quasi-Baer and Rings (Modules)

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