Generating dual Baer modules via fully invariant submodules

Çalcı T., Harmanci A., Üngör B.

QUAESTIONES MATHEMATICAE, vol.42, no.8, pp.1125-1139, 2019 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 42 Issue: 8
  • Publication Date: 2019
  • Doi Number: 10.2989/16073606.2018.1508523
  • Journal Name: QUAESTIONES MATHEMATICAE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1125-1139
  • Keywords: Dual Baer module, dual inverse split module, fully invariant submodule, cosingular submodule
  • Ankara University Affiliated: Yes

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*(?).