*-ZERO DIVISORS AND *-PRIME IDEALS

Abstract

Throughout this note we introduce the concept of *-zero divisors in

rings with involution and its correlation with the concept of zero divisors

in rings without involution. Moreover, some related definitions; such as

*-completely prime ideals and rings and *-cancellation laws are intro

duced. Nevertheless, we characterize *-prime and *-completely prime

ideals using *-zero divisors.