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 …

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 …

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 first find strongly 2-primal rings whose sub direct product is not (strongly) 2-primal.
Moreover we observe some kinds of ring extensions of (strongly) 2-primal rings. As an …

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 …

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 …

Let I be a proper ideal of a commutative ring R. An element a∈ R is called almost prime to I
provided that ra∈ I− I2 (with r∈ R) implies that r∈ I. We denote by A (I) the set of all …

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 …

In the current paper, we will give an elementwise characterization of the radical associated
with v-primeness for v= 1, 2, 3, e. We show that the class of 2—prime 0-symmetric near-rings …