Distinguishing Graphs Associated to KU-Algebras using Graph Invariants

Authors

Deena Al-Kadi, Department of Mathematics and Statistic, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaFollow

Author Country (or Countries)

Saudi Arabia

Abstract

The present paper aims to distinguish two graphs associated to KU-algebras. We construct KU-algebras graph using right zero divisors notion. Properties of right zero divisors in KU-algebras were studied. Moreover, it is proved that the set of right zero divisors of the identity element is a quasi R-prime ideal, whereas the sets of right zero divisors of all other elements are not quasi ideals. A condition is given for a graph to be a star and a complete graph. Then, we show that the diameter of a right zero graph of KU -algebras is two at most. Finally, graph isomorphism has been considered. It has been shown that KU-algebras graph constructed in this paper is not isomorphic to the KU-algebras graph constructed using KU-annihilator.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/150103

Recommended Citation

Al-Kadi, Deena (2021) "Distinguishing Graphs Associated to KU-Algebras using Graph Invariants," Applied Mathematics & Information Sciences: Vol. 15: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/amis/150103
Available at: https://digitalcommons.aaru.edu.jo/amis/vol15/iss1/3