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 …

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 …

On ideals and extensions of near-rings Page 1 Publ. Math. Debrecen 41 / 1–2 (1992), 13–22
On ideals and extensions of near-rings By STEFAN VELDSMAN (Port Elizabeth) Abstract …

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 …

1. Introduction Page 1 TAIWANESE JOURNAL OF MATHEMATICS Vol. 23, No. 4, pp. 799–820,
August 2019 DOI: 10.11650/tjm/181206 Minimal Ideals and Primitivity in Near-rings Gerhard …

IDEALS IN NEAR-RINGS A Thesis Presented to the Faculty of the Department of Mathematics
University of Houston In Partial Fulfill Page 1 IDEALS IN NEAR-RINGS A Thesis Presented to …

A near-ring N is called an IFP near-ring provided that for all a, b, n∈ N, ab= 0 implies anb=
0. In this study, the IFP condition in a nearring is extended to the ideals in near-rings. If N/P is …

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 …