ON RIGHT STRONGLY PRIME TERNARY RINGS

Abstract

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.