A dual approach to the theory of inverse split modules
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, vol.17, no.8, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 17 Issue: 8
- Publication Date: 2018
- Doi Number: 10.1142/s0219498818501487
- Journal Name: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Hacettepe University Affiliated: Yes
Abstract
Let R be an arbitrary ring with identity, M a right R-module and F a fully invariant submodule of M. The notion of an F-inverse split module M has been defined and studied by the present authors recently. In this paper, we introduce its dual notion, namely, dual F-inverse split module M. This work is devoted to investigation of various properties and characterizations of a dual F-inverse split module M. We include applications for rings and cosingular submodules. We also deal with the notion of relatively dual inverse splitness to investigate direct sums of dual inverse split modules.