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

Abstract

We give a complete description of finite dimensional selfinjective algebras over an algebraically closed field whose Auslander-Reiten quiver admits a generalized standard family of quasi-tubes maximally saturated by simple and projective modules. In particular, we show that these algebras are selfinjective algebras of strictly canonical type.MSC: 16D50, 16G20, 16G70