Power Semigroups of a Class of Cliford Semigroups

摘要

Let S =∪（Gα : α∈ E） be a semilattice of groups（i.e., a Cliford semigroup） and n a natural number. E is called an n-element chain of groups if it is an n-element chain. Denote by Cn the set of all n-element chains of groups. In this paper we shall show that for any natural number n, the class of semigroups Cn satisfies the strong isomorphism property.