In this paper, we first introduce the notions of pseudo symmetric subset and pseudo
symmetric ideal of a near-ring and define pseudo symmetric near-ring. We prove that every …

In this paper we introduce the concept of P (r, m) near-rings where r, m are positive integers.
Under certain conditions, we (i) obtain a complete characterization of such near-rings (ii) …

Let N be a right near-ring. The class of all near-rings will be denoted by N anc the class of all
O-symmetric near-rings by No. It is well-known that an ideal I* N is ap: ime ideal if and only if …

In this paper we introduce the notion of left prime weakly regular, left primeweakly $\pi $-
regular and left prime pseudo $\pi $-regular near-rings. We alsointroduce the concept of …

The rings considered in this article are commutative with identity $1\neq 0$. By a proper
ideal of a ring $ R $, we mean an ideal $ I $ of $ R $ such that $ I\neq R $. We say that a …

In this paper we show first that the sum of the nil right ideals of a distributive near-ring N and
the sum of the nil left ideals of N have the same two-sided annihilator. This ideal-here …

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+ …

In the present paper, we study almost primal and n-almost primal ideals in commutative
rings and give some properties and some characterizations of them. We also, study …

In this paper, we introduce the notions of completely prime ideal with respect to an element x
denoted By (xC. PI) of a near ring and the completely prime ideals near ring with respect to …