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Generalization of Auslander-Reiten duality for algebras

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Abstract Let R be a Cohen-Macaulay local ring of dimension d with canonical module ωR . In this article we extend Auslander-Reiten duality theorem to certain R-algebras. As a consequence… Click to show full abstract

Abstract Let R be a Cohen-Macaulay local ring of dimension d with canonical module ωR . In this article we extend Auslander-Reiten duality theorem to certain R-algebras. As a consequence of our argument, we obtain a criterion for projective modules over certain R-algebras in terms of vanishing of Ext modules.

Keywords: generalization auslander; reiten duality; duality algebras; auslander reiten

Journal Title: Communications in Algebra
Year Published: 2021

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