加法可逆半环上的Fuzzy同余  

Fuzzy Congruences on the Semirings with Reversible Addition

作　　者：张诚一[1] 徐清舟[2] 

机构地区：[1]海南师范大学数学系,海口571158 [2]许昌学院数学系,许昌461000

出　　处：《武汉理工大学学报》2006年第4期137-140,共4页Journal of Wuhan University of Technology

基　　金：国家自然科学基金(60364001);河南省教育厅自然科学研究(2006110013)

摘　　要：定义了加法可逆半环上的Fuzzy同余关系,讨论了带有Fuzzy同余关系的加法可逆半环S的性质。证明得出:如果S是一个带有Fuzzy同余关系μ的加法可逆半环,则S关于μ的Fuzzy同余类做成一个加法可逆半环。给出了带有Fuzzy同余关系的加法可逆半环的同态性质。The concept of fuzzy congruence on the semirings with reversible addition was introduced. It was proved that if S is a semirings with reversible addition and μ is the fuzzy congruence of S, the fuzzy congruence classes of S about μ is a semirings with reversible addition. Some homomorphic properties of semirings with fuzzy congruence relation are given in the end.

关 键 词：加法可逆半环 Fuzzy等价关系 FUZZY同余关系 

分 类 号：O152[理学—数学]