$n$-exangulated categories
| Autor: | Herschend, Martin, Liu, Yu, Nakaoka, Hiroyuki |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | For each positive integer $n$ we introduce the notion of $n$-exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka-Palu. We characterize which $n$-exangulated categories are $n$-exact in the sense of Jasso and which are $(n+2)$-angulated in the sense of Geiss-Keller-Oppermann. For extriangulated categories with enough projectives and injectives we introduce the notion of $n$-cluster tilting subcategories and show that under certain conditions such $n$-cluster tilting subcategories are $n$-exangulated. Comment: Section 6 added. 71 pages |
| Databáze: | arXiv |
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