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Commutative non-associative number theory

Published online by Cambridge University Press:  20 January 2009

M. W. Bunder
Affiliation:
University of Wollongong, N.S.W., Australia
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Trevor Evans in (8) introduced postulates for a non-associative number theory similar to, but less general than, those of A. Robinson (9). Evans' number theory is also non-commutative under addition and multiplication, but an alternative equality axiom also suggested by Robinson leads to a number theory which is commutative under addition and still non-associative except in the special case:

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1976

References

REFERENCES

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