Stably triangulated algebras

JOURNAL OF ALGEBRA

卷:320

Article

Liu, Shiping^1,2  Paquette, Charles¹ 

[1] Univ Sherbrooke, Dept Math, Sherbrooke, PQ J1K 2R1, Canada

[2] Beijing Normal Univ, Sch Math, Beijing 100875, Peoples R China

关键词: stable module categories;    stable equivalences;    triangulated categories;    self-injective algebras;    Nakayama algebras;   

DOI  :  10.1016/j.jalgebra.2008.06.014

来源: Elsevier

【 摘 要 】

We prove that the stable module category of an Artin algebra is triangulated if and only if the algebra is self-injective or directed Nakayama of Loewy length two, and this is further equivalent to the algebra being stably equivalent to a self-injective algebra. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free