Fuzzy Regular Relations on Hyperquasigroups  

作　　者：Jian Ming ZHAN 

机构地区：[1]Department of Mathematics,Hubei University for Nationalities,Hubei 445000,P.R.China

出　　处：《Journal of Mathematical Research and Exposition》2010年第6期1083-1090,共8页数学研究与评论（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.60875034);the Natural Science Foun-ation of Education Committee of Hubei Province (Grant Nos.D20092901;Q20092907;D20082903;B200529001);the Natural Science Foundation of Hubei Province (Grant No.2009CDB340)

摘　　要：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.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.

关 键 词：hyperquasigroup regular relation fuzzy regular relation. 

分 类 号：O153.3[理学—数学]