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Short Formulations of Boolean Algebra,Using Ring Operations

Published online by Cambridge University Press:  20 November 2018

Lee Byrne
Lee Byrne*
Affiliation:
Arizona State College
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Special interest has recently attached to formulations of Boolean algebra in terms of ring operations [7], [1]. These axiomatizations have not been as brief as those reached through other modes of approach.

The present note will show that the number of axioms when ring operations are used may be as small as in any present version that is not metamathematical, that is, the number of axioms finally employed will be two.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 31 - 33
Copyright
Copyright © Canadian Mathematical Society 1951

References

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[8] Stone, M. H., The theory of representations for Boolean algebras, Trans. Amer. Math. Soc, vol. 40 (1936), 37–111.Google Scholar