Study of two types finite graphs in ku-semigroups

• Published in: Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 31; no. 3; pp. 160 - 170
• Main Authors: Hasan, Ilaf R., Karim, Fatimah F.
• Format: Journal Article
• Language: English
• Published: Baghdad, Iraq University of Baghdad, College of Education for Pure Science / Ibn al-Haitham 19-11-2018; University of Baghdad
• Subjects: KU-algebra, KU-semigroup, graph , annihilator
• ISSN: 1609-4042; 2521-3407
• DOI: 10.30526/31.3.2009

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.