E-反演半群上的模糊纯整同余  

Fuzzy Orthodox Congruences on E-inversive Semigroups

作　　者：范兴奎[1] 陈倩华[1] 

机构地区：[1]青岛理工大学理学院,山东青岛266520

出　　处：《模糊系统与数学》2015年第2期83-91,共9页Fuzzy Systems and Mathematics

基　　金：山东省自然科学基金资助项目(ZR2010AL010)

摘　　要：利用"弱逆"探讨了E-反演半群S上的模糊纯整同余。借助于由E(S)生成的子半群〈E(S)〉上的模糊正规同余τ及S的模糊正规子半群K组成的模糊同余对(K,τ)刻画了E-反演半群S上的模糊纯整同余。证明了E-反演半群S上每个模糊纯整同余都是由它的模糊核和模糊超迹所唯一确定的。in this paper we investigate the fuzzy orthodox congruences in terms of＂weak inverse＂on Einversive semigroups S. The fuzzy orthodox congruences on E-inversive semigroups S are described by means of certain fuzzy congruence pair （K,τ）, where K is a certain fuzzy normal subsemigroup of S and r is a certain fuzzy normal congruence on the subsemigroup （E（S）） generated by E（S）. Furthermore, we prove that each fuzzy orthodox congruence on E-inversive semigroups S is uniquely determined by its fuzzy kernel and fuzzy hyper-trace.

关 键 词：E-反演半群 模糊纯整同余 模糊同余对 

分 类 号：O152[理学—数学]