Grade, dominant dimension and Gorenstein algebras

JOURNAL OF ALGEBRA

卷:427

Article

Gao, Nan¹  Koenig, Steffen² 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Univ Stuttgart, Inst Algebra & Zahlentheorie, D-70569 Stuttgart, Germany

关键词: Grade;    Double centraliser property;    Dominant dimension;    Gendo-Gorenstein algebra;    Gorenstein projective module;    Maximal orthogonal subcategory;   

DOI  :  10.1016/j.jalgebra.2014.11.028

来源: Elsevier

【 摘 要 】

We first give precise connections between Auslander-Bridger's grade, double centraliser properties and dominant dimension, and apply these to homological conjectures. Then we introduce gendo-d-Gorenstein algebras as correspondents of Gorenstein algebras under a Morita-Tachikawa correspondence. We characterise these algebras by homological properties and derive several of their properties, including higher Auslander correspondence. (c) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free