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

2018/02/13 by Alicja Jaworska-Pastuszak, Jaworska-Pastuszak, Alicja, Marta Kwiecień +3 · 1 citation
Computer Science · Mathematics · #16D50 #16G20 #16G70 #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Computing Algorithms and Architecture #Representation Theory (math.RT) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1802.04577

openalex publication_date 2018/02/13 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

We give a complete description of finite dimensional selfinjective algebras\nover an algebraically closed field whose Auslander-Reiten quiver admits a\ngeneralized standard family of quasi-tubes maximally saturated by simple and\nprojective modules. In particular, we show that these algebras are\nselfinjective algebras of strictly canonical type.\n

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