*-ZERO DIVISORS AND *-PRIME IDEALS

Usama A. Aburawash, Khadija B. Sola

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 introduced. Nevertheless, we characterize *-prime and *-completely prime ideals using *-zero divisors.

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