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math.RA2009
The Automorphism Group of a Metropolis-Rota Implication Algebra
Colin Bailey, Joseph Oliveira
We discuss the group of automorphisms of a general MR-algebra. We develop several functors between implication algebras and cubic algebras. These allow us to generalize the notion…
math.RA2009★ 1 cited
The Algebra of Filters of a Cubic Algebra
Colin Bailey, Joseph Oliveira
In this paper we discuss the inclusion ordering on the filters of a filter algebra, a special type of Metropolis-Rota algeba. Using embeddings into interval algebras we show that t…