Abstract
This paper is a continuation of the study of prime rings started in [2]. We recall that a prime ring is a ring having its zero ideal as a prime ideal. A right (left) ideal I of a prime ring R is called prime if abCI implies that acI (bCI), a and b right (left) ideals of R with b5O (aXO). We denote by r (i$1) the set of all prime right (left) ideals of R. For any subset A of R, Ar (Al) denotes the right (left) annihilator of A; Ar (A1) is a right (left) annihilator ideal of R. The set of all right (left) annihilator ideals of R is denoted by W, (1). For the prime rii'gs R studied in [2 ], it was assumed that there existed a mapping I-* of the set of all right (left) ideals of R onto a subset T? (3) of 1r ($3) having the following seven properties:
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