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Generating dual Baer Modules via fully invariant submodules


Tugce Pekacar Calci
Abdullah Harmanci
Burcu Ungor

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


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eISSN: 1727-933X
print ISSN: 1607-3606