Karoubi envelope

id: karoubi-envelope-299-13437434
title: Karoubi envelope
text: In mathematics the Karoubi envelope (or Cauchy completion or idempotent completion) of a category C is a classification of the idempotents of C, by means of an auxiliary category. Taking the Karoubi envelope of a preadditive category gives a pseudo-abelian category, hence the construction is sometimes called the pseudo-abelian completion. It is named for the French mathematician Max Karoubi. Given a category C, an idempotent of C is an endomorphism with An idempotent e: A → A is said to split if
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category slug: encyclopedia
description: Category theory
original url: https://en.wikipedia.org/wiki/Karoubi_envelope
date created:
date modified: 2023-12-03T00:44:38Z
main entity: {"identifier":"Q3055409","url":"https://www.wikidata.org/entity/Q3055409"}
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