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The logic induced by a system of homomorphisms and its various algebraic characterizations. (English) Zbl 0879.06005
The authors first find a variant of the inverse spectral theorem for homomorphisms of certain algebraic systems, generalizing in a way the standard spectral theorem for Hilbert spaces. Then they apply this result to obtain an interesting equivalence between ring-like structures and lattices, a main result being the isomorphism of a class of Boolean quasirings and orthomodular lattices.
Reviewer: P.Pták (Praha)

06C15 Complemented lattices, orthocomplemented lattices and posets
03G12 Quantum logic
06E20 Ring-theoretic properties of Boolean algebras
81P10 Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects)
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