JOURNAL OF PURE AND APPLIED ALGEBRA, vol.225, no.6, 2021 (SCI-Expanded)
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. (C) 2020 Elsevier B.V. All rights reserved.