一类变换半群的变种半群的格林关系

Some Results on Green's Relation on a Kind of Variant Semigroups of Transformation Semigroup

设X是一个非空集合。E、F是集合X上两个非平凡等价关系且假设EF,在已有的保持两个等价关系的变换半群TFE(X)基础上,规定新的运算,得出保持两个等价关系的变换半群TFE(X)的变种半群。利用格林关系的定义,描述了这类半群中一般元素间的格林关系。

Suppose that X is a not empty set and E,F are two non-trivial equivalence relation and assumption in the existing. Keep two equivalent relations transformation semigroups basis, new operation regulations that keep two equivalent relations transformation semigroups variant of the half. Use the definition of Green＇s relationship to describe this kind of half a group of the general elements of the relationship between green.