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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_21136_CMJ_2017_0346_16,
     author = {Wang, Chao and Yang, Xiaoyan},
     title = {(Strongly) {Gorenstein} injective modules over upper triangular matrix {Artin} algebras},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1031--1048},
     publisher = {mathdoc},
     volume = {67},
     number = {4},
     year = {2017},
     doi = {10.21136/CMJ.2017.0346-16},
     mrnumber = {3736017},
     zbl = {06819570},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0346-16/}
}
TY  - JOUR
AU  - Wang, Chao
AU  - Yang, Xiaoyan
TI  - (Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras
JO  - Czechoslovak Mathematical Journal
PY  - 2017
SP  - 1031
EP  - 1048
VL  - 67
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0346-16/
DO  - 10.21136/CMJ.2017.0346-16
LA  - en
ID  - 10_21136_CMJ_2017_0346_16
ER  - 
%0 Journal Article
%A Wang, Chao
%A Yang, Xiaoyan
%T (Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras
%J Czechoslovak Mathematical Journal
%D 2017
%P 1031-1048
%V 67
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0346-16/
%R 10.21136/CMJ.2017.0346-16
%G en
%F 10_21136_CMJ_2017_0346_16
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

Cité par Sources :