| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4667014 | Advances in Mathematics | 2010 | 7 Pages |
Abstract
An Artin algebra A is said to be CM-finite if there are only finitely many isomorphism classes of indecomposable finitely generated Gorenstein-projective A-modules. Inspired by Auslander's idea on representation dimension, we prove that for 2⩽n<∞, A is a CM-finite n-Gorenstein algebra if and only if there is a resolving Gorenstein-projective A-module E such that gl.dimEndAop(E)⩽n.
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Physical Sciences and Engineering
Mathematics
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