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Various varieties1

Published online by Cambridge University Press:  09 April 2009

Sheila Oates MacDonald
Affiliation:
Department of Mathematics University of Queensland Brisbane, Australia
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The study of varieties of universal algebras2 which was initiated by Birkhoff in 1935, [2], has received considerable attention during the past decade; the question of particular interest being: “Which varieties have a finite basis for their laws?” In that paper Birkhoff showed that the laws of a finite algebra which involve a bounded number of variables are finitely based, so it is not altogether surprising that finite algebras have received their share of this attention.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

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