  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.

Rings and Algebras;Representation Theory