The connection between the structure of a near-ring and that of the group on which it acts is
used to obtain results concerning the structure of near-rings. A generalized R series is …

Many examples of near-rings arise in essentially the same way. The standard examples take
the form of the set of all mappings of a group into itself and certain subsets of this set. The …

The study of near-rings is motivated by consideration of the system generated by the
endomorphisms of a (not necessarily commutative) group. Such endomorphism near-rings …

In the theory of near-rings the near-rings with identities occupy a role analogous to that in
ring theory of rings with identities. Specifically, every near-ring may be embedded in a near …

1. Introduction. Group near-rings have been defined by Meldrum [2, 3] and extended slightly
in Mahmood and Meldrum [1]. In all these cases only dg near-rings were considered and the …

If G is an additive (but not necessarily abelian) group and S is a semigroup of
endomorphisms of G, the endomorphism near-ring R of G generated by S consists of all the …

In recent years there has arisen an interest in algebraic systems with binary compositions of
addition and multiplication satisfying all the ring aXiOm S, save possibly, one of the …

The theory of near-rings has arisen in a variety of ways. There is a natural desire to
generalise the theory of rings and skew fields by relaxing some of their defining axioms. It …

Normal right submodules and right ideals need not coincide in an arbitrary near-ring.
Berman and Silverman (1) have shown that in a near-ring (N,+,·) with a two-sided zero (ie x …

The group near-ring constructed from a right near-ring R and a group G is studied in the
special case where the near-ring is distributively generated. In particular, results concerning …