| Title:
|
(Strongly) Gorenstein injective modules over upper triangular matrix Artin algebras (English) |
| Author:
|
Wang, Chao |
| Author:
|
Yang, Xiaoyan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
1031-1048 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $. (English) |
| Keyword:
|
(strongly) Gorenstein injective module |
| Keyword:
|
upper triangular matrix Artin algebra |
| Keyword:
|
triangulated category |
| Keyword:
|
recollement |
| MSC:
|
16E65 |
| MSC:
|
18E30 |
| MSC:
|
18G25 |
| idZBL:
|
Zbl 06819570 |
| idMR:
|
MR3736017 |
| DOI:
|
10.21136/CMJ.2017.0346-16 |
| . |
| Date available:
|
2017-11-20T14:55:59Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146965 |
| . |
| Reference:
|
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| Reference:
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| . |
