与理想有关的正则集合

Regular Subsets of Semigroups Related to Their Ideals

设T为半群S的子半群,用Reg(T)表示T中所有的正则元素,而reg(T)表示Reg(S)∩T。在本文中我们考虑T为半群S的任意左理想,右理想,以及左右理想的交时满足reg(T)=Reg(T)这类半群等价刻划。

For a subsemigroup T of regular elements of T and the set of all a semigroups, we let elements of T which Reg（T） and reg（T） are regular in S. We denote respectively the set of all characterize semigroups with Reg （T） = reg （T）, where T runs over one of the following families of subsemigroups： left ideal, fight ideal, and the insection of the fight ideal and left ideal.