PRIMITIVITY IN MATRIX NEAR-RINGS Page 1 Quaestiones Mathematicae - 9 (1986). 459-469
PRIMITIVITY IN MATRIX NEAR-RINGS Andries PJ van der Walt ABSTRACT. The relationships …

This paper clears up some questions concerning type 0 modules over matrix near-rings and
the ℐ 0-radical in matrix near-rings. It is shown that, unlike in the type 2 case, type 0 modules …

1. Introduction. Near-ringers seem to have reluctantly concluded that in most cases it does
not make sense to speak about a near-ring of matrices over an arbitrary near-ring, cf …

0. Introduction. It is well-known that there is a one to one correspondence between the set of
(two-sided) ideals of a ring R with identity and the set of ideals of the corresponding matrix …

Matrix near-rings over general near-rings were introduced in [S]; more material appeared in
[69]. Most of these results are concerned with the transfer of properties from the near-ring R …

One of the ways in which matrix near-rings as defined by Meldrum and van der Walt differ
from matrix rings is that the correspondence between ideals in the matrix near-ring and …

In the study of near rings, one would like to consider the system Mn (R) of all nx n matrices
with entries from a near ring R and show Mn (R) to be a near ring with respect to the usual …

The J2 -Radical in Structural Matrix Near-Rings Page 1 JOURNAL OF ALGEBRA 123, 248-261
(1989) The J2 -Radical in Structural Matrix Near-Rings ANDRIES PJ VAN DER WALT AND L …

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 …

In ring theory it is well known that a ring R with identity is isomorphic to a matrix ring if and
only if R has a set of matrix units. In this paper, the above result is extended to matrix near …