On the classification of higher Auslander algebras for Nakayama algebras

JOURNAL OF ALGEBRA

卷:556

Article

Madsen, Dag Oskar¹  Marczinzik, Rene²  Zaimi, Gjergji² 

[1] Nord Univ, Fac Educ & Arts, Postboks 1490, NO-8049 Bodo, Norway

[2] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, Stuttgart 70569, Germany

关键词: Dominant dimension;    Nakayama algebras;    Higher Auslander algebras;    Global dimension;   

DOI  :  10.1016/j.jalgebra.2020.02.036

来源: Elsevier

【 摘 要 】

We give new improved bounds for the dominant dimension of Nakayama algebras and use those bounds to give a classification of Nakayama algebras with n simple modules that are higher Auslander algebras with global dimension at least n. The classification is then used to extend the results on the inequality for the global dimension of Nakayama algebras obtained in [18] . (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free