JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 25-36.doi: 10.6040/j.issn.1671-9352.0.2024.114

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Lower K-groups of the recollement of extriangulated categories

ZHENG Min1,2, CHEN Qinghua2*   

  1. 1. Department of Mathematics and Physics, Fujian Jiangxia University, Fuzhou 350108, Fujian, China;
    2. School of Mathematics and Statistics, Fujian Normal University, Fuzhou 350117, Fujian, China
  • Published:2026-04-08

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Abstract: This paper proves that, under certain conditions, there exists the direct and isomorphic relation among the Ki-groups of three categories in the left(right)recollement of extriangulated categories, which generalizes the conclusions of Ki-groups of recollements of abelian(triangulated)categories(i=0,1). The recollement of extriangulated categories is used to describe the additivity of Ki-groups of the idempotent completion categories of its three categories(i=0,1).

Key words: extriangulated category, recollement, Ki-group, idempotent completion category, triangulated category

CLC Number: 

  • O154
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