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Research Article | Open Access

Silting objects and recollements of extriangulated categories

Zhen Zhang, Shance Wang( )
Department of Mathematics, Qilu Normal University, Ji'nan 250200, China
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Abstract

In this paper, let (A,C,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.

Keywords

extriangulated categoryrecollementsilting objecttilting objectcotorsion pair
CLC number: 16G10, 18E40, 18G80

References

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24796-24809
DOI: 10.3934/math.20241207

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Cite this article:
Zhang Z, Wang S. Silting objects and recollements of extriangulated categories. AIMS Mathematics, 2024, 9(9): 24796-24809. https://doi.org/10.3934/math.20241207

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Received: 03 April 2024
Revised: 15 August 2024
Accepted: 19 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)