Article
| Title: | Higher-dimensional Auslander-Reiten sequences (English) |
| Author: | Li, Jiangsha |
| Author: | He, Jing |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 74 |
| Issue: | 3 |
| Year: | 2024 |
| Pages: | 771-786 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Zhou and Zhu have shown that if $\mathscr {C}$ is an $(n+2)$-angulated category and $\mathscr {X}$ is a cluster tilting subcategory of $\mathscr{C}$, then the quotient category $\mathscr {C}/\mathscr {X}$ is an $n$-abelian category. We show that if $\mathscr {C}$ has Auslander-Reiten $(n+2)$-angles, then $\mathscr {C}/\mathscr {X}$ has Auslander-Reiten $n$-exact sequences. (English) |
| Keyword: | $(n+2)$-angulated category |
| Keyword: | cluster tilting subcategory |
| Keyword: | $n$-abelian category |
| Keyword: | Auslander-Reiten $(n+2)$-angle |
| Keyword: | Auslander-Reiten $n$-exact sequence |
| MSC: | 16G70 |
| MSC: | 18E10 |
| MSC: | 18G80 |
| DOI: | 10.21136/CMJ.2024.0545-23 |
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| Date available: | 2024-10-03T12:36:10Z |
| Last updated: | 2024-10-04 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152580 |
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