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

Alicja Jaworska-Pastuszak; Marta Kwiecień; Andrzej Skowroński

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arXiv · 1802.04577

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

Alicja Jaworska-Pastuszak·Marta Kwiecień·Andrzej Skowroński

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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.

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Alicja Jaworska-Pastuszak, Marta Kwiecień, Andrzej Skowroński. 2018-02-13. Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules. https://arxiv.org/abs/1802.04577

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