Frontiers of Mathematics in China >

2014 , Vol. 9 >Issue 3: 699 - 714

DOI: https://doi.org/10.1007/s11464-014-0345-y

RESEARCH ARTICLE

Some remarks on cotilting comodules

  • Sujuan ZHANG 1,2 ,
  • Hailou YAO , 1
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  • 1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • 2. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China

Received date: 21 Jun 2013

Accepted date: 06 Nov 2013

Published date: 24 Jun 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

We study cotilting comodules and f-cotilting comodules and give a description of localization of f-cotilting comodules and classical tilting comodules. First, we introduce T-cotilting injective comodules and their dimensions which are important for researching cotilting comodules. Then we characterize the localization in f-cotilting comodules, finitely copresented comodules, and classical tilting comodules. In particular, we obtain a localizing property about finitely copresented comodules.

Key words： Coalgebra; comodule; localization

Cite this article

Sujuan ZHANG , Hailou YAO . Some remarks on cotilting comodules[J]. Frontiers of Mathematics in China, 2014 , 9(3) : 699 -714 . DOI: 10.1007/s11464-014-0345-y

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