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

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Fuzzy congruence of Γ-semigroups

 GAO Ai-Xia   

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