Localization and colocalization in tilting torsion theory for coalgebras

Yuan Li; Hailou Yao

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 3, page 663-688
  • ISSN: 0011-4642

Abstract

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Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.

How to cite

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Li, Yuan, and Yao, Hailou. "Localization and colocalization in tilting torsion theory for coalgebras." Czechoslovak Mathematical Journal 71.3 (2021): 663-688. <http://eudml.org/doc/298237>.

@article{Li2021,
abstract = {Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.},
author = {Li, Yuan, Yao, Hailou},
journal = {Czechoslovak Mathematical Journal},
keywords = {(pre)cover; tilting comodule; (co)localization; torsion theory},
language = {eng},
number = {3},
pages = {663-688},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Localization and colocalization in tilting torsion theory for coalgebras},
url = {http://eudml.org/doc/298237},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Li, Yuan
AU - Yao, Hailou
TI - Localization and colocalization in tilting torsion theory for coalgebras
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 663
EP - 688
AB - Tilting theory plays an important role in the representation theory of coalgebras. This paper seeks how to apply the theory of localization and colocalization to tilting torsion theory in the category of comodules. In order to better understand the process, we give the (co)localization for morphisms, (pre)covers and special precovers. For that reason, we investigate the (co)localization in tilting torsion theory for coalgebras.
LA - eng
KW - (pre)cover; tilting comodule; (co)localization; torsion theory
UR - http://eudml.org/doc/298237
ER -

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