Cubic algebras and Implication Algebras

Details Cubic algebras and Implication Algebras Cubic algebras and Implication Algebras

2009-02-04

arxiv.org/abs/0902.0771v1

Mathematics

Combinatorics

24 pages

Scientific paper

We consider relationships between cubic algebras and implication algebras. We first exhibit a functorial construction of a cubic algebra from an implication algebra. Then we consider an collapse of a cubic algebra to an implication algebra and the connection between these two operations. Finally we use the ideas of the collapse to obtain a Stone-type representation theorem for a large class of cubic algebras.

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