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Silting objects and recollements of extriangulated categories
- Source :
- AIMS Mathematics, Vol 9, Iss 9, Pp 24796-24809 (2024)
- Publication Year :
- 2024
- Publisher :
- AIMS Press, 2024.
-
Abstract
- In this paper, let $ (\mathscr{A}, \mathscr{C}, \mathscr{B}) $ be a recollement of extriangulated categories. We construct a silting object and a tilting object from the two end terms of a recollement. We also show that the reverse direction holds under natural assumptions. Moreover, we show that our gluing preserves cotorsion pairs.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 9
- Issue :
- 9
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2bb1139e190544f8b2300e91db280284
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.20241207?viewType=HTML