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ON PRINCIPALLY QUASI-BAER MODULES

ON PRINCIPALLY QUASI-BAER MODULES

Let R be an arbitrary ring with identity and M a right R-module with S=EndR(M). In this paper, we introduce a class of modules that is a generalization of principally quasi-Baer rings and Baer modules. The module MS is called principally quasi-Baer if for any m∈M,lS(Sm)=Se for some e2=e∈S. It …