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 with respect

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

1. Lastly we characterize strongly prime radical of a ternary ring.