On wings of the Auslander–Reiten quivers of selfinjective algebras
Copyright policy )On wings of the Auslander–Reiten quivers of selfinjective algebras
Summary: We give necessary and sufficient conditions for a wing of an Auslander-Reiten quiver of a selfinjective algebra to be the wing of the radical of an indecomposable projective module. Moreover, a characterization of indecomposable Nakayama algebras of Loewy length~\(\geq 3\) is obtained.
selfinjective algebras, path algebras, Auslander-Reiten sequences, wings, Nakayama algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Injective modules, self-injective associative rings, Representations of quivers and partially ordered sets, indecomposable projective modules, Dynkin quivers, Auslander-Reiten quivers, Representations of associative Artinian rings
selfinjective algebras, path algebras, Auslander-Reiten sequences, wings, Nakayama algebras, Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers, Injective modules, self-injective associative rings, Representations of quivers and partially ordered sets, indecomposable projective modules, Dynkin quivers, Auslander-Reiten quivers, Representations of associative Artinian rings
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