J4 ›› 2010, Vol. 45 ›› Issue (6): 1-7.

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A survey on a topic of combinatorial semigroups:characterizing and generalizing regular languages by semifilters

GUO Yu-qi 1*,  WANG Shou-feng 2,  SHUM K. P. 3   

  1. 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;
    2. School of Mathematics, Yunnan Normal University,  Kunming  650092, Yunnan, China;
    3. Department of Mathematics, The University of Hong Kong, Hong Kong, China
  • Received:2010-02-28 Online:2010-06-16 Published:2010-06-17
  • About author:GUO Yu-qi(1940-), male, professor, major in the research of semigroup theory and the combination of semi-group. Email: yqguo259@swu.edu.cn
  • Supported by:

    Supported by the National Natural Science Foundation of China (10871161)

Abstract:

This paper is devoted to a topic of combinatorial semigroups, namely,characterizing and generalizing regular languages by semifilters. Some recent progress and results in this aspect are surveyed. Furthermore, some problems are proposed.

Key words: semifilters; regular languages; generalized regular languages

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