| Title:
|
$n$-angulated quotient categories induced by mutation pairs (English) |
| Author:
|
Lin, Zengqiang |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
4 |
| Year:
|
2015 |
| Pages:
|
953-968 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Geiss, Keller and Oppermann (2013) introduced the notion of \mbox {$n$-angulated} category, which is a ``higher dimensional'' analogue of triangulated category, and showed that certain $(n-2)$-cluster tilting subcategories of triangulated categories give rise to \mbox {$n$-angulated} categories. We define mutation pairs in \mbox {$n$-angulated} categories and prove that given such a mutation pair, the corresponding quotient category carries a natural \mbox {$n$-angulated} structure. This result generalizes a theorem of Iyama-Yoshino (2008) for triangulated categories. (English) |
| Keyword:
|
\mbox {$n$-angulated} category |
| Keyword:
|
quotient category |
| Keyword:
|
mutation pair |
| MSC:
|
18E30 |
| idZBL:
|
Zbl 06537703 |
| idMR:
|
MR3441328 |
| DOI:
|
10.1007/s10587-015-0220-3 |
| . |
| Date available:
|
2016-01-13T09:07:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144785 |
| . |
| 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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| Reference:
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| Reference:
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| . |
