Fuzzy Regular Relations on Hyperquasigroups
Received:October 10, 2008  Revised:September 15, 2009
Key Words: hyperquasigroup   regular relation   fuzzy regular relation.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.60875034), the Natural Science Foundation of Education Committee of Hubei Province (Grant Nos.D20092901; Q20092907; D20082903; B200529001) and the Natural Science Foundation of Hubei Province (Grant No.2009CDB340).
Author NameAffiliation
Jian Ming ZHAN Department of Mathematics, Hubei University for Nationalities, Hubei 445000, P. R. China 
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Abstract:
      Regular relations play in hyperquasigroups theory a role analogous to congruences in semigroup theory. The aim of this paper is to introduce the concept of regular relations on hyperquasigroups and to investigate some related properties. Further, the notion of fuzzy regular relations on hyperquasigroups is introduced and some characterizations are discussed.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.06.018
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