G-dimension over local homomorphisms with respect to a semi-dualizing complex

Title:

G-dimension over local homomorphisms with respect to a semi-dualizing complex

Creator:

Dejun, Wu

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:7eed0d7a-3e13-4e04-8d4e-c9e1c70abc38
uuid:7eed0d7a-3e13-4e04-8d4e-c9e1c70abc38

Subject:

Cohen factorization, Gorenstein dimension, Gorenstein homomorphism, and semi-dualizing complex

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We study the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex. Some results that track the behavior of Gorenstein properties over local ring homomorphisms under composition and decomposition are given. As an application, we characterize a dualizing complex for $R$ in terms of the finiteness of the G-dimension over local ring homomorphisms with respect to a semi-dualizing complex.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

567-579

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:2

Harvested from:

CDK

Metadata only:

false