(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras

Title:

(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras

Creator:

Wang, Chao and Yang, Xiaoyan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a1ca3da9-a473-4e23-bf66-8eb690377d78
uuid:a1ca3da9-a473-4e23-bf66-8eb690377d78
issn:0011-4642

Subject:

matematika, mathematics, (strongly) Gorenstein injective module, upper triangular matrix Artin algebra, triangulated category, recollement, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

Let $\Lambda=\left(\begin{smallmatrix} A&M 0&B \end{smallmatrix}\right)$ be an Artin algebra. In view of the characterization of finitely generated Gorenstein injective $\Lambda$-modules under the condition that $M$ is a cocompatible $(A,B)$-bimodule, we establish a recollement of the stable category $\overline{\rm Ginj(\Lambda)}$. We also determine all strongly complete injective resolutions and all strongly Gorenstein injective modules over $\Lambda$., Chao Wang, Xiaoyan Yang., and Obsahuje bibliografii

Language:

English

Rights:

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

Coverage:

1031-1048

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:4

Harvested from:

CDK

Metadata only:

false