Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (5): 1021-1028.

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Recollements of n-Torsion Pairs in Abelian Categories

Xue Fengchun, Wang Li, Liu Dajun   

  1. School of Mathematics-Physics and Finance, Anhui Polytechnic University, Wuhu 241000, Anhui Province, China
  • Received:2026-02-05 Online:2026-09-26 Published:2026-09-26

Abstract: Firstly,  we  define and study n-torsion pairs in Abelian categories, and let (A,B,C) be a recollement of Abelian categories. Secondly, by using methods such as higher extensions, pushout, and pullback, we prove that an n-torsion pair in A and C can induce an n-torsion pair in B. Conversely, an n-torsion pair in B can also induce an n-torsion pair in A and C.


Key words: Abelian category, n-torsion pair, recollemen

CLC Number: 

  • O154.2