Projection Invariant <i>t</i>-Baer and Related Modules


KARA ŞEN Y.

UKRAINIAN MATHEMATICAL JOURNAL, vol.75, no.10, pp.1533-1548, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 10
  • Publication Date: 2024
  • Doi Number: 10.1007/s11253-024-02276-0
  • Journal Name: UKRAINIAN MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1533-1548
  • Bursa Uludag University Affiliated: Yes

Abstract

We study the concepts of projection invariant t-extending modules and projection invariant t-Baer modules, which are generalized to the notions of pi-extending and t-Baer modules, respectively. Several structural properties are obtained and some applications are developed. It is shown that the pi-t-extending modules and pi-t-e. Baer modules are connected with each other. Moreover, we obtain a characterization for pi-t-extending modules relative to the annihilator conditions.