Geodesic
(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras
Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 1031-1048.

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Let $\Lambda =\left (\begin {smallmatrix} A\\ 0 \end {smallmatrix}\right )$ 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 $.
DOI : 10.21136/CMJ.2017.0346-16
Classification : 16E65, 18E30, 18G25
Keywords: (strongly) Gorenstein injective module; upper triangular matrix Artin algebra; triangulated category; recollement 
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     title = {(Strongly) {Gorenstein} injective modules over upper triangular matrix {Artin} algebras},
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Wang, Chao; Yang, Xiaoyan. (Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras. Czechoslovak Mathematical Journal, Tome 67 (2017) no. 4, pp. 1031-1048. doi : 10.21136/CMJ.2017.0346-16. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0346-16/

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