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Non-associative algebraic structures arising in genetics

Published online by Cambridge University Press:  01 August 2016

David Towers
David Towers*
Affiliation:
Department of Mathematics, University of Lancaster, Bailrigg, Lancaster LA1 4YL
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Extract

One of the difficulties encountered by students when they are first introduced to axiomatic algebra is that the axioms, such as commutativity, associativity, and distributivity, seem self-evident in the algebraic situations with which they are familiar. Indeed, the axioms are so useful, of course, because of their wide applicability. However, it can be instructive to study situations in which these axioms break down, particularly if the situations are not too contrived.

Type
Research Article
Information
The Mathematical Gazette , Volume 70 , Issue 454 , December 1986 , pp. 281 - 286
Copyright
Copyright © The Mathematical Association 1986

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References

1. Etherington, I.M.H., Genetic algebras, Proc. Roy. Soc. Edinburgh, 59, 242–258 (1939).Google Scholar
2. Etherington, I.M.H., Nonassociative algebra and the symbolism of genetics, Proc. Roy. Soc. Edinburgh, 61, 24–42 (1941).Google Scholar
3. Wörz-Busekros, A., Algebras in genetics; Lecture notes in Biomathematics, 36. Springer-Verlag, New York (1980).Google Scholar