Quantum MV-algebras and commutativity (Q1264374)

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scientific article; zbMATH DE number 1196966
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Quantum MV-algebras and commutativity
scientific article; zbMATH DE number 1196966

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    Quantum MV-algebras and commutativity (English)
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    7 September 1998
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    In a previous paper, the author introduced quantum MV-algebras as a generalization of MV-algebras [Stud. Logica 56, 393-417 (1996; Zbl 0854.03057)]. In this paper he introduces a notion of commutativity as well as that of the center for such algebras, showing that the center of a quantum MV-algebra is an MV-algebra. It is also shown that the center of the quantum MV-algebra of all effects on a Hilbert space is trivial.
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    quantum MV-algebras
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    commutativity
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    center
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