Study of two types finite graphs in ku-semigroups

الملخص EN

In this research, we present the notion of the graph for a KU-semigroup X as the undirected simple graph with the vertices are the elements ofX and we study the graph of equivalence classes of X which is determined by the definition equivalence relation of these vertices, and then some related properties are given Several examples are presented and some theorems are proved.

By using the definition of isomorphic graph, we show that the graph of equivalence classes and the graph of a KU-semigroup are1 the same.

in special cases.