Prime Ideals of Transitive BE-Algebras

Abstract

The notion of prime ideals is introduced in transitive BE-algebras. Prime ideals are characterized with the help of principal ideals. Prime ideal theorem is stated and derived for BE-algebras. The concept of minimal prime ideals is introduced in transitive BE-algebras. A decomposition theorem of proper ideals into minimal prime ideals is derived.

Keywords

• transitive be-algebra
• ideal
• maximal ideal
• prime ideal
• 03g25