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We give a complete description of finite dimensional selfinjective algebrasover an algebraically closed field whose Auslander-Reiten quiver admits ageneralized standard family of quasi-tubes maximally saturated by simple andprojective modules. In particular, we show that these algebras areselfinjective algebras of strictly canonical type.

Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules