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Left ideals and 0-primitivity in matrix near-rings

Published online by Cambridge University Press:  20 January 2009

J. H. Meyer
J. H. Meyer
Affiliation:
Department of MathematicsUniversity of the Orange Free StateP.O. Box 339Bloemfontein9300Republic of South Africa
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Abstract

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Maximal left ideals in matrix rings were studied by Stone [10]. Similar results are not necessarily valid in the general near-ring case and one of the objectives of this paper is to study these differences. Furthermore, although much is known about 2-primitivity in general matrix near-rings (Van der Walt [11]), quite the opposite is true for 0-primitivity and the other objective of this paper is to present some results on 0-primitivity in matrix near-rings in certain restricted cases.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 2 , June 1992 , pp. 173 - 187
Copyright
Copyright © Edinburgh Mathematical Society 1992

References

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