Abstract
We introduce the notion of quantum MV algebra (QMV algebra) as a generalization of MV algebras and we show that the class of all effects of any Hilbert space gives rise to an example of such a structure. We investigate some properties of QMV algebras and we prove that QMV algebras represent non-idempotent extensions of orthomodular lattices.
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I should like to thank Prof. M.L. Dalla Chiara and Dr. P. Minari for many interesting comments and remarks.
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Giuntini, R. Quantum MV algebras. Stud Logica 56, 393–417 (1996). https://doi.org/10.1007/BF00372773
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DOI: https://doi.org/10.1007/BF00372773