PRIME PRINCIPAL RIGHT IDEAL RINGS

Let R be a commutative ring with unity. In this article, we introduce the concept of prime principal right ideal rings, A prime ideal P of R is said to be a prime principal right ideal given by P = {ar : r is an element of R} for some element a in R. The ring R is said to be the prime principal right ideal ring if every prime ideal of R is a prime principal right ideal. A prime principal right ideal ring R is called a prime principal right ideal domain if R is a domain. Several properties and characteristics of prime principal right ideal rings are studied.