关于格值滤子的一点注记

A Note on Lattice-Valued Filters

首先通过反例指出两个格值滤子的乘积不一定是格值滤子,然后对群上的格值滤子定义逆运算和乘法运算,并对有关逆运算和乘法运算的结果进行刻画.

We first pointed out that the product of two lattice-valued filters was not necessarily lattice-valued filters by a counterexample.Then we defined inverse operation and multiplication for lattice-valued filters on groups,and characterized the results of inverse operation and multiplication.