Journal of Jilin University Science Edition ›› 2026, Vol. 64 ›› Issue (5): 1021-1028.
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Xue Fengchun, Wang Li, Liu Dajun
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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
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Xue Fengchun, Wang Li, Liu Dajun. Recollements of n-Torsion Pairs in Abelian Categories[J].Journal of Jilin University Science Edition, 2026, 64(5): 1021-1028.
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https://xuebao.jlu.edu.cn/lxb/EN/Y2026/V64/I5/1021
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