Generating dual Baer Modules via fully invariant submodules

Abstract

In this paper, we introduce a concept of a dual F-Baer module M where F is the fully invariant submodule of M, by this means we deal with generating dual Baer modules. We investigate direct sums of dual F-Baer modules M by exerting the notion of relatively dual F-Baer modules. We also obtain applications of dual F-Baer modules to rings and the preradical Z * (^.).

Mathematics Subject Classification (2010): 16D10, 16D40, 16D70, 16D80.

Keywords: Dual Baer module, dual inverse split module, fully invariant submodule, cosingular submodule