J4 ›› 2014, Vol. 13 ›› Issue (6): 7-9.

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A Note of Congruence-free Regular Semigroups with Zero Element

  

  1. College of Mathematics and Finance-economics,Sichuan University of Arts and Science, Dazhou , Sichuan 635000,China
  • Received:2013-12-22 Online:2014-06-15 Published:2014-06-15

Abstract:

In this paper, let S be a regular semigroup, and E(s) be the set of idempotent of regular semigroup S. By constructing the relation between sets in S, we obtain a new method to show the regular semigroup S with zero element is a congruence-free regular semigroup.

Key words: regular semigroups, the set of idempotent element, disjunct sets, congruence-free regular semigroups

CLC Number: