关于格蕴涵代数模糊滤子的一个注记

A Note on the Fuzzy Filters of Lattice Implication Algebras

在格蕴涵代数基本结构基础上进一步研究了格蕴涵代数的模糊滤子的性质 ,指出了模糊滤子可以诱导出格蕴涵代数的一簇同余关系 。

The properties of the fuzzy filters of lattice implication algebras are further studied on the basis of the structures of lattice implication algebra. It is shown that a family of congruence relations can be induced by a fuzzy filter of lattice implication algebra. The algebraic structure of this family of congruence relations, along with the homomorphism mapping between the quotient lattice implication algebras induced by the congruence relations, is also studied