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

JOURNAL OF ALGEBRA

卷:520

Article

Jaworska-Pastuszak, Alicja¹  Kwiecien, Marta²  Skowronski, Andrzej¹ 

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

[2] Univ Warmia & Mazury, Fac Math & Comp Sci, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

关键词: Selfinjective algebra;    Canonical algebra;    Galois covering;    Repetitive algebra;    Auslander-Reiten quiver;    Quasi-tube;   

DOI  :  10.1016/j.jalgebra.2018.10.034

来源: Elsevier

【 摘 要 】

We 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, we show that these algebras are self-injective algebras of strictly canonical type. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free