J4 ›› 2013, Vol. 26 ›› Issue (2): 39-40.doi: 10.3976/j.issn.1002-4026.2013.02.007

• Article • Previous Articles     Next Articles

Fuzzy congruence of Γ-semigroups

 GAO Ai-Xia   

  1. School of Mathematics, Shandong Normal University, Jinan 250014, China
  • Received:2012-06-07 Published:2013-04-20 Online:2013-04-20

Abstract:

We generalize the fuzzy congruence on semigroups to Γ-semigroups. We also define fuzzy congruence on  Γ-semigroups, and present the largest fuzzy congruence contained in the fuzzy equivalent relation on Γ-semigroups.

Key words: fuzzy equivalence, fuzzy congruence, fuzzy left (right) compatible

CLC Number: 

  • O157.5

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0), which permits third parties to freely share (i.e., copy and redistribute the material in any medium or format) and adapt (i.e., remix, transform, or build upon the material) the articles published in this journal, provided that appropriate credit is given, a link to the license is provided, and any changes made are indicated. The material may not be used for commercial purposes. For details of the CC BY-NC 4.0 license, please visit: https://creativecommons.org/licenses/by-nc/4.0