Quantum MV algebras

Studia Logica 56 (3):393 - 417 (1996)
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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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References found in this work

Effect algebras and unsharp quantum logics.D. J. Foulis & M. K. Bennett - 1994 - Foundations of Physics 24 (10):1331-1352.
A semantical investigation on Brouwer-Zadeh logic.Roberto Giuntini - 1991 - Journal of Philosophical Logic 20 (4):411 - 433.

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