Auslander algebra

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 .
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;