Title of article :
The prime spectrum of a BCI-algebra
Author/Authors :
Najafi ، Ardavan Department of Mathematics - University Islamic Azad, Behbahan,Branch , Borumand Saeid ، Arsham Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman
Abstract :
The aim of the present paper is to define the prime spectrum of a BCI-algebra as a generalization of prime spectrum BCK-algebras with respect to prime ideals. The notions of prime spectrum BCI-algebras using prime ideals, and some properties of these concepts are studied. Finally, we attempt to generalize some useful theorems about prime spectra in BCI-algebras instead of commutative BCK-algebras.
Keywords :
BCI , algebras , prime spectrum , prime ideals , prime
Journal title :
Journal of Mahani Mathematical Research Center
Journal title :
Journal of Mahani Mathematical Research Center