Source: wikibot/krull-schmidt-category
= Krull–Schmidt category
{wiki=Krull–Schmidt_category}
A **Krull–Schmidt category** is a concept in category theory, particularly in the study of additive categories and their decomposition properties. It is named after mathematicians Wolfgang Krull and Walter Schmidt. In a Krull–Schmidt category, every object can be decomposed into indecomposable objects in a manner that is unique up to isomorphism and ordering.