Back to Search Start Over

Silting objects and recollements of extriangulated categories

Authors :
Zhen Zhang
Shance Wang
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