Recollement of colimit categories and its applications

Ju Huang; QingHua Chen; Chunhuan Lai

Czechoslovak Mathematical Journal (2020)

  • Volume: 70, Issue: 4, page 1147-1160
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Huang, Ju, Chen, QingHua, and Lai, Chunhuan. "Recollement of colimit categories and its applications." Czechoslovak Mathematical Journal 70.4 (2020): 1147-1160. <http://eudml.org/doc/297060>.

@article{Huang2020,
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.},
author = {Huang, Ju, Chen, QingHua, Lai, Chunhuan},
journal = {Czechoslovak Mathematical Journal},
keywords = {colimit category; recollement; Leavitt path algebra; $K_i$ group},
language = {eng},
number = {4},
pages = {1147-1160},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Recollement of colimit categories and its applications},
url = {http://eudml.org/doc/297060},
volume = {70},
year = {2020},
}

TY - JOUR
AU - Huang, Ju
AU - Chen, QingHua
AU - Lai, Chunhuan
TI - Recollement of colimit categories and its applications
JO - Czechoslovak Mathematical Journal
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 70
IS - 4
SP - 1147
EP - 1160
AB - 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.
LA - eng
KW - colimit category; recollement; Leavitt path algebra; $K_i$ group
UR - http://eudml.org/doc/297060
ER -

References

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