aspg-33-2055-1792223365 20261017074925 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2023 7 2 Zahraa Hasan University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain 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 31 33 2055 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.070203 https://americaspg.com/journal/33/article/2055 https://americaspg.com/storage/31694237208.pdf