Geodesic
Recollement of colimit categories and its applications
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1147-1160.

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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.
DOI : 10.21136/CMJ.2020.0240-19
Classification : 18A30, 19D50
Keywords: colimit category; recollement; Leavitt path algebra; $K_i$ group 
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Huang, Ju; Chen, QingHua; Lai, Chunhuan. Recollement of colimit categories and its applications. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1147-1160. doi : 10.21136/CMJ.2020.0240-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0240-19/

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