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Cancellative medial groupoids and arithmetic means
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1973
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