Modules over matrix near-rings and the ℐ0-radical

JDP Meldrum, JH Meyer - Monatshefte für Mathematik, 1991 - Springer
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 …

The J2-radical in structural matrix near-rings

APJ van der Walt, L Van Wyk - Journal of Algebra, 1989 - Elsevier
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 …

[PDF][PDF] On matrix near-rings

SJ Abbasi, JDP Meldrum - Mathematica Pannonica, 1991 - kurims.kyoto-u.ac.jp
This paper extends the work on matrix near-rings J\/ln (R), the nea. r~ rings of nX n matrices
over right near-rings with identity» Our main aim is to investigate matrix near-rings …

Primitivity in matrix near-rings

APJ van der Walt - Quaestiones Mathematicae, 1986 - Taylor & Francis
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 …

The 2-primitive ideals of structural matrix near-rings

L Van Wyk - Proceedings of the Edinburgh Mathematical Society, 1991 - cambridge.org
An isomorphism (as groups) is established between an arbitrary connected module over a
structural matrix near-ring and a direct sum of appropriate modules over the base near-ring …

[PDF][PDF] Matrix near-rings contained in 2-primitive near-rings with minimal subgroups

APJ Van der Walt - Journal of Algebra, 1992 - core.ac.uk
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 …

On near-rings with matrix units

RS Rao - Quaestiones Mathematicae, 1994 - Taylor & Francis
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 …

[引用][C] Matrix near-rings

JDP Meldrum, APJ Van der Walt - Archiv der Mathematik, 1986 - Springer
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 …

[引用][C] Chains of intermediate ideals in matrix near-rings

JH Meyer - Archiv der Mathematik, 1994 - Springer
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 …

Strongly prime near-rings 2

NJ Groenewald - Communications in Algebra, 1989 - Taylor & Francis
In [I] the concept of strongly prime near-rings were introduced. In this note we show that
some of the results which were proved for zero-symmetric near-rings are also valid for …