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arXiv · 1908.04738

On weakly Gorenstein algebras

Rene Marczinzik
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Abstract

We prove that algebras are left weakly Gorenstein in case the subcategory $^{\perp}A \cap \Omega^n(A)$ 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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Rene Marczinzik. 2019-08-13. On weakly Gorenstein algebras. https://arxiv.org/abs/1908.04738

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