On Cm-finite Gorenstein Artin Algebras
نویسنده
چکیده
An artin algebra A is said to be CM-finite if there are only finitely many, up to isomorphisms, indecomposable finitely-generated Gorenstein-projective A-modules. We prove that for a Gorenstein artin algebra, it is CM-finite if and only if every its Gorenstein-projective module is a direct sum of finitely-generated Gorenstein-projective modules.
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An Auslander-type Result for Gorenstein-projective Modules
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