Cubic algebras and Implication Algebras
Combinatorics
2009-02-05 v1
Abstract
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.
Cite
@article{arxiv.0902.0771,
title = {Cubic algebras and Implication Algebras},
author = {Colin Bailey and Joseph Oliveira},
journal= {arXiv preprint arXiv:0902.0771},
year = {2009}
}
Comments
24 pages