Title: Representations of additive categories and direct-sum decompositions of objects

Authors: Alberto Facchini

Issue: Volume 56 (2007), Issue 2, 659-680

Abstract: The aim of this paper is to embed additive categories in which direct-sum decompositions into indecomposables are not unique but have a regular geometric behavior into categories in which the Krull-Schmidt Theorem holds, that is, to give a representation of additive categories into categories with unique direct-sum decompositions into indecomposables. Cf. Theorems 4.8, 6.1, 6.2, 7.2, and 8.2.