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Near-rings that reduce to rings

Published online by Cambridge University Press:  17 April 2009

S.D. Scott
S.D. Scott*
Affiliation:
Department of Mathematics, University of Auckland, Auckland, New Zealand.
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Abstract

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It is shown that a near-ring is a ring if it is generated by a group of automorphisms of its additive group that contains all inner automorphisms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 1 , August 1977 , pp. 135 - 137
Copyright
Copyright © Australian Mathematical Society 1977

References

[1] Fröhlich, A., “Distributively generated near-rings (I. Ideal theory)”, Proa. London Math. Soc. (3) 8 (1958), 76–94.CrossRefGoogle Scholar