Baer semisimple modules and Baer rings
Abstract
We consider Baer rings and Baer semisimple R-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring R is a Baer ring if and only if R itself, regarded as a regular R-module, is Baer semisimple.
Keywords
Baer module; Baer semisimple module; perpetual submodule; Baer ring
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