Lattice ordered eect algebras
Scott R. Sykes · 2003
The purpose of this paper is to discuss some structural properties of lattice ordered eect algebras. We will use these structural properties to nd certain lattices and classes of lattices that do not admit an eect algebra structure. Finally, using these structural properties, we will show that if L is the face lattice of a convex polytope in R 3 with more than 3 vertices, then L does not admit an eect algebra structure.