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PROGRESS ON THE AUSLANDER–REITEN CONJECTURE
Published online by Cambridge University Press: 16 March 2016
Abstract
Let $R$ be a commutative Gorenstein ring. A result of Araya reduces the Auslander–Reiten conjecture on the vanishing of self-extensions to the case where $R$ has Krull dimension at most one. In this paper we extend Araya’s result to certain $R$-algebras. As a consequence of our argument, we obtain examples of bound quiver algebras that satisfy the Auslander–Reiten conjecture.
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- Research Article
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- © 2016 Australian Mathematical Publishing Association Inc.