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A Gordon--Green-type result for Gorenstein-projective modules

Bouhada, A. M. et al.
arXiv (All) · Papers
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representation-theoryrings-and-algebras
Let \(Λ\) be a \(\Z\)-graded Artin algebra which is Iwanaga--Gorenstein. We prove that \(Λ\) is CM-finite if and only if the category of gradable Gorenstein-projective modules has finite type, and if and only if the lengths of the indecomposable gradable Gorenstein-projective modules are bounded. Mo
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