关键词: Abelian范畴, n-挠对, 粘合

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