Author(s)

Fang Tian

Corresponding Author

Fang Tian

Abstract

The semigroup extension is based on a known or simple semigroup class and extends to a class of semigroups by some method. The structure and properties of Cayley graphs of strong semilattices of left groups are studied, and a sufficient condition is given that a directed graph is a Cayley graph of strong semilattices of left groups. The 1 1/2 - expandability and 2- expandability of Cay (T, P) graphs of Clifford semigroups with being a circle are characterized. If the left group is restricted to be a group, the corresponding results of Cayley graphs of Clifford semigroups can be obtained, thus generalizing some main conclusions about Cayley graphs of such semigroups.

Keywords

Clifford semigroups, Cayley diagram, Extensibility