Clifford半群的逆半群扩张

The Inverse Semigroup Extension of Clifford Semigroup

借助已知半群作扩张半群,是构造半群的主要方法之一.本文讨论Clifford半群的逆半群扩张.首先引入完整逆半群的概念并给出完整逆半群的Green关系的重要性质,其次引入Clifford半群的逆半群可扩张成逆半群的定义并作了初步的讨论.

Extending a given semigroup is one of the main methods to construct a new semigroup. In this paper, the inverse semigroup extension of a Clifford semigroup is discussed. The concept of full inverse semigroup is introduced and the properties of Green relation between full inverse semigroups are presented. The definition of inverse semigroup extension of Clifford semigroup is given and debated.