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Varieties and d.g. near-rings

Published online by Cambridge University Press:  20 January 2009

J. D. P. Meldrum
J. D. P. Meldrum
Affiliation:
Mathematical Institute, Chambers Street, Edinburgh 1
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In this note we show that the variety of near-rings generated by d.g. near-rings is the class of all near-rings R satisfying

This extends a result of J. J. Malone (3) on the embedding of near-rings.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 3 , June 1971 , pp. 271 - 274
Copyright
Copyright © Edinburgh Mathematical Society 1971

References

REFERENCES

(1)Cohn, P. M., Universal Algebra (Harper and Row, 1965).Google Scholar
(2)Fröhlich, A., The near-ring generated by the inner automorphisms of a finite simple group, J. London Math. Soc. 33 (1958), 95–107.Google Scholar
(3)Malone, J. J., A near-ring analogue of a ring embedding theorem, J. Algebra 16 (1970), 237–238.CrossRefGoogle Scholar
(4)Malone, J. J. and Heatherly, H. E., On some near-ring embeddings, Quart. J. Math. Oxford Ser. (2), 20 (1969), 81–85.CrossRefGoogle Scholar
(5)Scott, W. R., Group Theory (Prentice Hall, 1964).Google Scholar