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The vanishing of self-extensions over n-symmetric algebras of quasitilted type

Maciej Karpicz; Marju Purin — 2014

Colloquium Mathematicae

A ring Λ satisfies the Generalized Auslander-Reiten Condition ( ) if for each Λ-module M with $E x t^{i} (M, M \oplus Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.

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