Ascent Properties of Auslander Categories
Ascent Properties of Auslander Categories
复制标题
DOI：
10.4153/cjm-2009-004-x
复制
发表时间：
2005-09
期刊：
影响因子：
--
通讯作者：
Lars Christensen;Henrik Holm
中科院分区：
文献类型：
--
作者：
Lars Christensen;Henrik Holm
Abstract Let $R$ be a homomorphic image of a Gorenstein local ring. Recent work has shown that there is a bridge between Auslander categories and modules of finite Gorenstein homological dimensions over $R$ . We use Gorenstein dimensions to prove new results about Auslander categories and vice versa. For example, we establish base change relations between the Auslander categories of the source and target rings of a homomorphism $\varphi :\,R\,\to \,S$ of finite flat dimension.
