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双半环上的Fuzzy同余
引用本文:牛琦,焦克莹,李固新.双半环上的Fuzzy同余[J].河南科学,2008,26(9).
作者姓名:牛琦  焦克莹  李固新
作者单位:河南驻马店教育学院,数理系,河南,驻马店,463000
基金项目:国家自然科学基金,河南省教育厅自然科学基金
摘    要:定义了双半环上的Fuzzy同余关系,讨论了带有Fuzzy同余关系的双半环S的性质.证明了如果S是一个带有Fuzzy同余关系的可逆双半环,其Fuzzy同余关系的核是S的一个Fuzzy理想;并给出带有Fuzzy同余关系的双半环的同态性质.

关 键 词:双半环  Fuzzy等价关系  Fuzzy同余关系  Fuzzy理想

Fuzzy Congruence on Bi-Semirings
Niu Qi,Jiao Keying,Li Guxin.Fuzzy Congruence on Bi-Semirings[J].Henan Science,2008,26(9).
Authors:Niu Qi  Jiao Keying  Li Guxin
Institution:Niu Qi,Jiao Keying,Li Guxin (Department of Computer Science,Zhumadian Education College,Zhumadian 463000,Henan China)
Abstract:The concept of Fuzzy congruence on the bi-semirings was introduced. It is proved that if S is a reversible addition bi-semirings with Fuzzy congruence relation,then the kernel of Fuzzy congruence relation is a fuzzy ideal of S. And some homomorphic properties of bi-semirings with Fuzzy congruence relation are given in the end.
Keywords:bi-semirings  Fuzzy equivalence relations  Fuzzy congruence relations  Fuzzy ideals  
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