D4-objects in abelian categories: transfer via functors

KESKİN TÜTÜNCÜ D., KALEBOĞAZ B.

COMMUNICATIONS IN ALGEBRA, vol.50, no.2, pp.687-698, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 2
  • Publication Date: 2022
  • Doi Number: 10.1080/00927872.2021.1964516
  • Journal Name: COMMUNICATIONS IN ALGEBRA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.687-698
  • Keywords: Abelian category, D4-object, Primary, Secondary
  • Hacettepe University Affiliated: Yes

Abstract

We study the transfer of D4 and dually C4 objects via functors between abelian categories. We also give applications to Grothendieck categories, comodule categories, (graded) module categories.