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On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
On Reduced And Semicommutative Modules, Muhi̇tti̇n Başer, Nazim Agayev
Turkish Journal of Mathematics
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.