ON RIGHT STRONGLY PRIME TERNARY RINGS
A ternary ring R is right strongly prime if every nonzero ideal of R contains a ﬁnite subset G such that the right annihilator of G withrespect to a ﬁnite subset of R is zero. Examples are ternary integral domain and simple ternary rings with a unital element ‘e’ or an identity element. All the strongly prime ternary rings are prime. In this paper we study right strongly prime ternary rings and obtain some characterizations of it. Lastly we characterize strongly prime radical of a ternary ring.