(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras.
Autor: | Wang, Chao |
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Další autoři: | |
Jazyk: | angličtina |
Předmět: | |
Druh dokumentu: | Non-fiction |
ISSN: | 0011-4642 |
Abstrakt: | Abstract: 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 $\Lambda$. |
Databáze: | Katalog Knihovny AV ČR |
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