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Recollements arising from cotorsion pairs on extriangulated categories
Received date: 01 Apr 2020
Accepted date: 27 Jun 2021
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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.
Key words： Extriangulated categories; recollements; cotorsion pairs; adjoint pairs
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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