2 citations · 8 across the 13 of their papers we have counts for
13 papers
Prime Filters in MV-algebras II
Colin G. Bailey
In this document we consider the prime and maximal spectra of an MV-algebra with certain natural operations. Several new MV-algebras are constructed in this fashion.
Prime Filters in an MV-algebra
Colin G. Bailey
In this document we consider the prime spectrum of an MV-algebra with certain natural operations. These are used to show connections between the classes of prime lattice filters an…
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…
Enumerating the Derangements of an -Cube via Möbius Inversion
Colin Bailey, Joseph Oliveira
In , the semilattice of faces of an -cube, we count the number of automorphisms of that fix a given subalgebra -- either pointwise or as a subalgebra. B…
Representations of Symmetric Implication Algebras as Multicubes
Colin Bailey, Joseph Oliveira
We show that the variety of symmetric implication algebras is generated from cubic implication algebras and Boolean algebras. We do this by developing the notion of a locally symme…
Hypergraphic Oriented Matroid Relational Dependency Flow Models of Chemical Reaction Networks
C. G. Bailey, D. W. Gull, J. S. Oliveira
In this paper we derive and present an application of hypergraphic oriented matroids for the purpose of enumerating the variable interdependencies that define the chemical complexe…