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
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