Uniqueness of uniform decompositions in exact categories

BERKTAŞ, MUSTAFA; Crivei, Septimiu; Kaynarca, Fatma; KESKİN TÜTÜNCÜ, DERYA

doi:10.1016/j.jpaa.2020.106621

Uniqueness of uniform decompositions in exact categories

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

Journal of Pure and Applied Algebra, cilt.225, sa.6, 2021 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 225 Sayı: 6
Basım Tarihi: 2021
Doi Numarası: 10.1016/j.jpaa.2020.106621
Dergi Adı: Journal of Pure and Applied Algebra
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
Anahtar Kelimeler: (Quasi-)abelian category, AI-category, Exactly definable category, Finitely accessible category, Quillen exact category, Uniform decomposition
Uşak Üniversitesi Adresli: Evet

Özet

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.