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

Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules (Q1632465)

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Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules
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    Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules (English)
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    14 December 2018
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    In this paper, the authors give a complete description of finite dimensional self-injective 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, they show that these algebras are self-injective algebras of strictly canonical type. As a consequence, they also provide a characterization of the trivial extensions of the canonical algebras by their minimal injective cogenerators.
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    self-injective algebra
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    Auslander-Reiten quiver
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