1. Generating Dual Baer Modules Via Fully Invariant Submodules
- Author
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Burcu Ungor, Tugce Pekacar Calci, and Abdullah Harmanci
- Subjects
Mathematics::Logic ,Mathematics::Group Theory ,Pure mathematics ,Dual Baer module, dual inverse split module, fully invariant submodule, cosingular submodule ,Mathematics (miscellaneous) ,Mathematics::Rings and Algebras ,010102 general mathematics ,Mathematics::General Topology ,010103 numerical & computational mathematics ,0101 mathematics ,Invariant (mathematics) ,01 natural sciences ,Mathematics - 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
- Published
- 2019