… of a s-semi-prime ideal in near-rings and to study as in the case of prime and semi-prime
ideals by Maxon, some relations between s-prime and s-semiprime ideals in near-rings. …

… semi-prime ideal I of N is the intersection of all completely prime ideals of I; and (ii) If I is a
completely semiprime ideal of N, … prime ideal of I if and only if P is a minimal prime ideal of I, …

… The purpose of this paper is to obtain the structure of certain near-rings satisfying the following
conditions:(i) d (I)⊆ Z (N),(ii) d (− I)⊆ Z (N),(iii) d ([x, y])= 0,(iv) d ([x, y])=[x, y],(v) d (x◦ y)= 0,(…

… near-rings with derivations in [2],[3] and [4]. In the present paper, it is shown that is a nonzero
semigroup ideal of prime near-ring… of prime rings for a semigroup ideal of prime near-rings. …

… ideals and type one prime ideals in near-rings. It also develops properties of type one prime
ideals, … So R E 911 • To see 911 ~ 6 1, let R E 911 and let S be a semi prime ideal of R. Then …

… If A is an ideal in the s-naring N, then AG is the intersection of all the semiprime ideals
which contain A. Furthermore, AG is a semiprime ideal andan ideal is a semiprime ideal if and …

… After that, we study different kinds of prime ideals in near-rings and … kind of prime ideals in
near-rings called K-prime ideals. … is made for 3-semiprime near-rings (semiprime rings) and we …

… Over the last sixteen years, many authors have proved commutativity theorems for prime
or semiprime rings or near-rings admitting derivations or generalized derivations. In [4], J. …

… In a commutative ring the product of a finite number of finitely generated ideals is itself
finitely generated, and semiprime and reduced mean the same thing, so we recapture the …

… Some recent results on rings deal with commutativity of prime and semi prime rings
admitting suitably-constrained derivations. It is natural to look for comparable results on near-rings, …