Uniqueness of uniform decompositions in exact categories

BERKTAŞ M. K., Crivei S., Kaynarca F., KESKİN TÜTÜNCÜ D.

Journal of Pure and Applied Algebra, vol.225, no.6, 2021 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 225 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.1016/j.jpaa.2020.106621
  • Journal Name: Journal of Pure and Applied Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: (Quasi-)abelian category, AI-category, Exactly definable category, Finitely accessible category, Quillen exact category, Uniform decomposition
  • Uşak University Affiliated: Yes

Abstract

Two uniqueness theorems on uniform decompositions due to Krause, Diracca and Facchini are extended from abelian categories to weakly idempotent complete exact categories. We give applications to (quasi-)abelian categories, finitely accessible additive categories and exactly definable additive categories.