Czechoslovak Mathematical Journal, Vol. 70, No. 4, pp. 1147-1160, 2020


Recollement of colimit categories and its applications

Ju Huang, Qinghua Chen, Chunhuan Lai

Received May 29, 2019.   Published online September 18, 2020.

Abstract:  We give an explicit recollement for a cocomplete abelian category and its colimit category. We obtain some applications on Leavitt path algebras, derived equivalences and $K$-groups.
Keywords:  colimit category; recollement; Leavitt path algebra; $K_i$ group
Classification MSC:  18A30, 19D50


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Affiliations:   Ju Huang, School of Mathematics and Statistics, Minnan Normal University, Jiangbin Rd, Xiangcheng District, Zhangzhou, 363000, P. R. China, e-mail: Hj20140429@163.com; Qinghua Chen (corresponding author), College of Mathematics and Informatics, Qishan Campus, Fujian Normal University, Minhou Shang, Fuzhou 350117, P. R. China; Chunhuan Lai, College of Mathematics and Informatics, Qishan Campus, Fujian Normal University, Minhou Shang, Fuzhou 350117, and No. 5 Middle School, 49 Guitan Alley, Licheng District, Quanzhou, 362000, P. R. China, e-mail: 920665376@qq.com


 
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