F-Baer objects with respect to a fully invariant short exact sequence in abelian categories


Crivei S., KESKİN TÜTÜNCÜ D. , Olteanu G.

COMMUNICATIONS IN ALGEBRA, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2021
  • Doi Number: 10.1080/00927872.2021.1935986
  • Title of Journal : COMMUNICATIONS IN ALGEBRA

Abstract

We introduce and study (dual) relative F-Baer objects as specializations of (dual) relative split objects with respect to a fully invariant short exact sequence in AB3* (AB3) abelian categories. We analyze their relationship with (dual) relative Baer objects, and we study direct summands and direct sums of (dual) relative F-Baer objects. We give applications to module and comodule categories.