| Title:
|
Relative Auslander bijection in $n$-exangulated categories (English) |
| Author:
|
He, Jian |
| Author:
|
He, Jing |
| Author:
|
Zhou, Panyue |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
73 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
525-552 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this article is to study the relative Auslander bijection in \hbox {$n$-exangulated} categories. More precisely, we introduce the notion of generalized Auslander-Reiten-Serre duality and exploit a bijection triangle, which involves the generalized Auslander-Reiten-Serre duality and the restricted Auslander bijection relative to the subfunctor. As an application, this result generalizes the work by Zhao in extriangulated categories. (English) |
| Keyword:
|
$n$-exangulated category |
| Keyword:
|
generalized Auslander-Reiten-Serre duality |
| Keyword:
|
restricted Auslander bijection |
| MSC:
|
16G70 |
| MSC:
|
18E10 |
| MSC:
|
18G80 |
| idZBL:
|
Zbl 07729522 |
| idMR:
|
MR4586909 |
| DOI:
|
10.21136/CMJ.2023.0127-22 |
| . |
| Date available:
|
2023-05-04T17:48:54Z |
| Last updated:
|
2025-07-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151672 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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