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.

中文翻译：

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精确类别中统一分解的唯一性

摘要 将 Krause、Diracca 和 Facchini 统一分解的两个唯一性定理从阿贝尔范畴扩展到弱幂等完全精确范畴。我们将应用程序应用于（准）阿贝尔类别、有限可访问的加法类别和可精确定义的加法类别。