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The representation of d. g. near-rings

Published online by Cambridge University Press:  09 April 2009

J. D. P. Meldrum
J. D. P. Meldrum
Affiliation:
Mathematical Institute University of EdinburghEdinburgh, Scotland.
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In this paper we study the problem of the representation of d.g. near-rings, and in particular the problem of a faithful representation, which is equivalent to the adjoining of an identity. This problem has been considered by Malone [5] and Malone and Heatherly [6] and [7]. They have shown that a finite near-ring with two sided zero can be embedded in the d.g. near-ring generated by the inner automorphisms of a suitable group, and that an identity can always be adjoined to a near-ring with two sided zero. They have also given some special conditions under which a faithful representation of a d.g. near-ring exists.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 4 , December 1973 , pp. 467 - 480
Copyright
Copyright © Australian Mathematical Society 1973

References

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