Upper bounds for the dominant dimension of Nakayama and related algebras

JOURNAL OF ALGEBRA

卷:496

Article

Marczinzik, Rene¹ 

[1] Univ Stuttgart, Inst Algebra & Number Theory, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

关键词: Dominant dimension;    Representation theory of finite dimensional algebras;    Nakayama algebras;    Monomial algebras;   

DOI  :  10.1016/j.jalgebra.2017.10.025

来源: Elsevier

【 摘 要 】

Optimal upper bounds are provided for the dominant dimensions of Nakayama algebras and more general algebras A with an idempotent e such that there is a minimal faithful injective projective module eA and such that eAe is a Nakayama algebra. This answers a question of Abrar and proves a conjecture of Yamagata for monomial algebras. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free