Article
| Title: | Recollements induced by good (co)silting dg-modules (English) |
| Author: | Zhu, Rongmin |
| Author: | Wei, Jiaqun |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 2 |
| Year: | 2023 |
| Pages: | 453-473 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Let $U$ be a dg-$A$-module, $B$ the endomorphism dg-algebra of $U$. We know that if $U$ is a good silting object, then there exist a dg-algebra $C$ and a recollement among the derived categories ${\mathbf D}(C,d)$ of $C$, ${\mathbf D}(B,d)$ of $B$ and ${\mathbf D}(A,d)$ of $A$. We investigate the condition under which the induced dg-algebra $C$ is weak nonpositive. In order to deal with both silting and cosilting dg-modules consistently, the notion of weak silting dg-modules is introduced. Thus, similar results for good cosilting dg-modules are obtained. Finally, some applications are given related to good 2-term silting complexes, good tilting complexes and modules.\looseness -1 (English) |
| Keyword: | silting object |
| Keyword: | dg-algebra |
| Keyword: | cosilting dg-module |
| Keyword: | recollement |
| MSC: | 16D90 |
| MSC: | 16E45 |
| MSC: | 18G80 |
| idZBL: | Zbl 07729517 |
| idMR: | MR4586904 |
| DOI: | 10.21136/CMJ.2023.0372-21 |
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| Date available: | 2023-05-04T17:45:37Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151667 |
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