Lattice ordered effect algebras (Q2496145)

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Lattice ordered effect algebras
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    Lattice ordered effect algebras (English)
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    12 July 2006
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    The author discusses several structural properties of lattice-ordered effect algebras to find lattices that do not admit an effect algebra structure. Using these properties, he shows 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 effect algebra structure.
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    lattice order
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    effect algebra
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    orthoalgebra
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