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Cancellative medial groupoids and arithmetic means

Published online by Cambridge University Press:  17 April 2009

T. Howroyd
T. Howroyd
Affiliation:
Department of Mathematics, University of New Brunswick, Fredericton, New Brunswick, Canada.
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Abstract

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It is shown that a homomorphism from a commutative, idempotent and medial groupoid with a reducible set of generators into another medial groupoid may be characterized by certain simultaneous equations. This result is used to characterize the arithmetic mean without introducing either continuity or order.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 8 , Issue 1 , February 1973 , pp. 17 - 21
Copyright
Copyright © Australian Mathematical Society 1973

References

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