TOPOLOGY SPECTRUM OF A KU-ALGEBRA

Authors : Samy Mohammed Mostafa, Abdelaziz Elazab Radwan, Fayza Abelhalim Ibrahem, Fatema Faisal Kareem

Pages : 78-91

View : 17 | Download : 12

Publication Date : 2015-09-01

Article Type : Research Paper

Abstract :–The aim of this paper is to study the Zariski topology of a commutative KU-algebra. Firstly, we introduce new concepts of a KU-algebra, such as KU-lattice, involutory ideal and prime ideal and investigate some basic properties of these concepts. Secondly, the notion of the topology spectrum of a commutative KU-algebra is studied and several properties of this topology are provided. Also, we study the continuous map of this topological space
Keywords : KU algebra, KU lattice, involutory ideal, prime ideal, topology spectrum