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On weakly Gorenstein algebras (1908.04738v2)
Published 13 Aug 2019 in math.RT
Abstract: We prove that algebras are left weakly Gorenstein in case the subcategory ${\perp}A \cap \Omegan(A)$ is representation-finite. This applies in particular to all monomial algebras and endomorphism algebras of modules over representation-finite algebras. We also give a proof of the Auslander-Reiten conjecture for such algebras.
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