(gnl) n2= g (n1n2) for every selection of ni and n2 from N and g from G. If" operating by n" is
defined as right multiplication by n, a near-ring N is itself a right N-group. The additive …

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 …

Tame near-rings and N-groups Page 1 Proceedings of the Edinburgh Mathematical Society
(1980), 23, 275-296 © TAME NEAR-RINGS AND N-GROUPS by SD SCOTT (Received 4th …

The triple (G,?,*) is said to be a left near ring if (G,+) is a group,(G,*) is a semi-group, and* is
left distributive over+, ie for a, b, cEG, a*(b+ c)= a* b+ a* c. The definition and theory for right …

1. Introduction. The ring structure of the endomorphisms of a commutative group is well
known. Most of the ring properties do not hold for the endomorphisms of a noncommutative …

The structure of semiprime pri-rings has been obtained by Goldie ([1]). It is the object of this
paper to present an analogous result for a certain class of near-rings. A near-ring is a set JV …

In 1937, Wielandt determined the structure of (right) near-rings with identity, which have only
the trivial ideals I and satisfy the descending chain condition on right ideals [11]. Since 1951 …

1. Introduction DISTBIBTJTIVB near-rings arise naturally from nilpotent class two groups. Let
(0,+) be such a group and define ab=[a, b]=—a—b+ a-\-b. Then (0,+,•) is a distributive near …

In an attempt to extend to near-rings the concept of Jacobson radical (for rings), BETSCI~[1]
has investigated the ideals Jr (N), v= 0, 1, 2 and the fight ideal D (N) for a near-ring N.(For a …

A near-ring is a triple (G,+,*) such that (G,+) is a group,(G,*) is a semigroup, and* is left
distributive over+; ie for a, b, ce G, a*(b+ c)= a* b+ a* c. For examples of near-rings that arise …