On weakly Gorenstein algebras

2019/08/13 by René Marczinzik, Marczinzik, Rene
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #Advanced Combinatorial Mathematics

paper · pdf · doi:10.48550/arxiv.1908.04738

Abstract

We prove that algebras are left weakly Gorenstein in case the subcategory ^⊥A ∩ Ωⁿ(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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