On Reduced and Semicommutative Modules
Authors : Muhittin Başer
Pages : 285-291
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Reduced Rings (Modules), Baer, quasi-Baer and Rings (Modules)