Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/2055 2022 2022 On Fully Right Prime Ternary Rings and Their Algebraic Properties University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain Zahraa Hasan 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. 2023 2023 31 33 10.54216/GJMSA.070203 https://www.americaspg.com/articleinfo/33/show/2055