Article
| 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 |
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| Category: | math |
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| 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 |
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| Date available: | 2023-05-04T17:48:54Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151672 |
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