
doi: 10.1007/bf02114666
A tensor product in the category of quantum logics is defined (a quantum logic is, by definition, a couple (L,M), where L is a \(\sigma\)- ortholattice and M is a quite full set of states, i.e., probability measures, on L) and some properties of this tensor product are established. Also, a comparison of this definition of the tensor product with that of the free orthodistributive product of \(\sigma\)- ortholattices, proposed by Matolcsi in 1975, is given.
Complemented lattices, orthocomplemented lattices and posets, \(\sigma\)-ortholattice, Cylindric and polyadic algebras; relation algebras, free orthodistributive product, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), tensor product, quantum logics, Structure theory of lattices
Complemented lattices, orthocomplemented lattices and posets, \(\sigma\)-ortholattice, Cylindric and polyadic algebras; relation algebras, free orthodistributive product, Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects), tensor product, quantum logics, Structure theory of lattices
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