On Fully Right Prime Ternary Rings and Their Algebraic Properties

Zahraa Hasan

University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain

Abstract

The objective of this paper to study some algebraic properties of ternary rings in which all of their proper right ideals are prime. Also, we characterize the relation between this class of ternary rings and the rings that all of their right ideals are weakly prime.

Keywords: Prime right ideal; Fully right prime; Ternary ring.