Auslander algebra

id: auslander-algebra-193-2142028
title: Auslander algebra
text: In mathematics, the Auslander algebra of an algebra A is the endomorphism ring of the sum of the indecomposable modules of A. It was introduced by Auslander (1974). An Artin algebra Γ is called an Auslander algebra if gl dim Γ ≤ 2 and if 0→Γ→I→J→K→0 is a minimal injective resolution of Γ then I and J are projective Γ-modules.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Auslander_algebra
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date modified: 2023-08-12T01:05:18Z
main entity: {"identifier":"Q4822772","url":"https://www.wikidata.org/entity/Q4822772"}
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