Study of two types finite graphs in ku-semigroups

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 prope...

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Bibliographic Details
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
Online Access:	Get full text
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Summary:	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.
ISSN:	1609-4042 2521-3407
DOI:	10.30526/31.3.2009