On the finitistic dimension conjecture of Artin algebras

JOURNAL OF ALGEBRA

卷:320

Article

Zhang, Aiping¹  Zhang, Shunhua¹ 

[1] Shandong Univ, Dept Math, Jinan 250100, Peoples R China

关键词: Artin algebras;    representation dimension;    finitistic dimension;   

DOI  :  10.1016/j.jalgebra.2007.12.011

来源: Elsevier

【 摘 要 】

Let A be an Artin algebra and e be an idempotent element of A. We prove that if A has representation dimension at most three, then the finitistic dimension of eAe is finite, and deduce that if quasi-hereditary algebras have representation dimensions at most three, then the finitistic dimension conjecture holds. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free