RESEARCH ARTICLE

Recollements arising from cotorsion pairs on extriangulated categories

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

Received date: 01 Apr 2020

Accepted date: 27 Jun 2021

Copyright

2021 Higher Education Press

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.

Cite this article

Yonggang HU , Panyue ZHOU . Recollements arising from cotorsion pairs on extriangulated categories[J]. Frontiers of Mathematics in China, 2021 , 16(4) : 937 -955 . DOI: 10.1007/s11464-021-0953-2

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