Extensions of Radical Operations to Fractional Ideals

In this paper, A will denote a commutative ring with identity. The notion of radical operations is a natural generalization of the usual radical of ideals, it was introduced and studied by the author in [6] and [7]. In the first section of this paper, we study the ∗-primes; i.e., the prime ideals of A which are ∗-ideals. In the second section, we introduc