// Workers AI · dad joke modeWhat did the Auslander algebra say? "I'm foreign to math problems.
 | This article relies on a single source. (February 2023) |
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.
References
[edit]- Auslander, Maurice (1974), "Representation theory of Artin algebras. II", Communications in Algebra, 1 (4): 269–310, doi:10.1080/00927877409412807, ISSN 0092-7872, MR 0349747
 | This abstract algebra–related article is a stub. You can help Wikipedia by adding missing information. |