Article

Generating dual Baer modules via fully invariant submodules

Published in: Quaestiones Mathematicae
Volume 42 , issue 8 , 2019 , pages: 1125–1139

DOI: 10.2989/16073606.2018.1508523

Author(s): Tugce Pekacar Calci Department of Mathematics, Turkey , Abdullah Harmanci Department of Mathematics, Turkey , Burcu Ungor Department of Mathematics, Turkey

Keywords: 16D10 , 16D40 , 16D70 , 16D80 , 16D10 , 16D40 , 16D70 , 16D80

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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*(·).

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