Frontiers of Mathematics in China >

2010 , Vol. 5 >Issue 4: 635 - 652

DOI: https://doi.org/10.1007/s11464-010-0077-6

RESEARCH ARTICLE

Localization in right (∗)-serial coalgebras

  • Weili FAN ,
  • Hailou YAO
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  • College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

Received date: 20 Oct 2009

Accepted date: 20 Jun 2010

Published date: 05 Dec 2010

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

In this article, we apply the localization techniques to right (∗)-serial coalgebras and obtain some interesting results. In particular, we give a characterization of right (∗)-serial coalgebras by means of its ‘local structure’, which is the localized right (∗)-serial coalgebras, and we get a main result—the periodicity theorem.

Key words： Coalgebra; comodule; right (∗)-serial coalgebra; localization

Cite this article

Weili FAN , Hailou YAO . Localization in right (∗)-serial coalgebras[J]. Frontiers of Mathematics in China, 2010 , 5(4) : 635 -652 . DOI: 10.1007/s11464-010-0077-6

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