It is well known that in any near-ring, any intersection of prime ideals is a semiprime ideal.
The aim of this paper is to prove that any semiprime ideal I in a near-ring N is the …

It is well-known that in any near-ring, any intersection of prime ideals is a semi-prime ideal.
The aim of this note is to prove that any ideal is a prime ideal if and only if it is equal to its …

An ideal I of a near-ring R is a type one prime ideal if whenever a Rb⊆ I, then a∈ I or b∈ I.
This paper considers the interconnections between prime ideals and type one prime ideals …

The aim of the present paper is to prove that (i) Every completely 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 …

In this paper we introduce the notion of strongly 0-prime ideals in near-rings similar to the
notion introduced in rings. We give some characterizations of a near-ring... whose unique …

We introduce the notion of completely 2-primal ideals in near-rings. We have also
introduced strongly completely 2-primal near-rings. An ideal I of a near-ring N is said to be …

Prime ideals in arbitrary rings were first made the subject of special study by McCoy [4]. He
defined a prime ideal of the ring R and characterized it in terms of an m-system. McCoy then …

Generalizations of Prime Ideals in Near-rings Page 1 Int. J. Open Problems Compt. Math., Vol.
4, No. 4, December 2011 ISSN 1998-6262; Copyright c ICSRS Publication, 2011 www.i-csrs.org …

Weakly Prime Ideals in Near-Rings 1. Introduction Page 1 Weakly Prime Ideals in Near-Rings
∗ P. Dheena † Department of Mathematics, Annamalai University, Annamalainagar - 608002 …

1. PRELIMINARY DEFINITIONS We will denote a near-ring by N and the class of all near-
rings by N, where it is understood that near-rings have the right: distributive property, ie (a+ …