保等价部分变换半群的变种半群上的正则元

The regular element for variant semigroup of partial transformation semigroup preserving an equivalence relation

在现有的保等价部分变换半群的基础上,引入了一个新的运算,得出保等价部分变换半群的变种半群的概念,利用格林关系及幂等元的正则性,讨论了这类半群中元素的正则性。

On the basis of semigroups of partial transformations preserving an equivalence relation,we derive the nation of variant semigroups of partial transformation semigroup preserving an equivalence through Green＇s relations and the regularity of idempotent and discuss the regularity for an element of this semigroup and give the sufficient and necessary condition of an element of variant semigroups of partial transformation semigroup preserving an equivalence is regular.