Recollements arising from cotorsion pairs on extriangulated categories

doi:10.1007/s11464-021-0953-2

Front. Math. China

2021, Vol. 16

Issue (4) : 937-955 https://doi.org/10.1007/s11464-021-0953-2

RESEARCH ARTICLE

Recollements arising from cotorsion pairs on extriangulated categories

Yonggang HU¹, Panyue ZHOU²(

)

¹. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China
². College of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, China

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Abstract

This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated category. As an application, this result generalizes the work by W. J. Chen, Z. K. Liu, and X. Y. Yang in a triangulated case [J. Algebra Appl., 2018, 17(5): 1–15]. Moreover, it highlights new phenomena when it applied to an exact category. Finally, we give some applications of our main results. In particular, we obtain Krause's recollement whose proofs are both elementary and very general.

Keywords Extriangulated categories recollements cotorsion pairs adjoint pairs

Corresponding Author(s): Panyue ZHOU

Issue Date: 11 October 2021

Cite this article:

Yonggang HU,Panyue ZHOU. Recollements arising from cotorsion pairs on extriangulated categories[J]. Front. Math. China, 2021, 16(4): 937-955.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0953-2
https://academic.hep.com.cn/fmc/EN/Y2021/V16/I4/937

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