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arxiv: 1407.1062 · v1 · pith:ABW3I53Nnew · submitted 2014-07-03 · 🧮 math.RA · math.RT

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

classification 🧮 math.RA math.RT
keywords algebrasconditionn-symmetricquasitiltedself-extensionsauslander-reitenautomorphismbroad
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A ring R satisfies the Generalized Auslander-Reiten Condition if any R-module M with no self-extensions in degrees higher than m must have projective dimension at most m. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type- a broad class of self-injective algebras where every module is periodic under the Nakayama automorphism.

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