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Continuous approximations of product implication in MV-algebras with product
Soft Computing, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SPADA, LUCA, MOTAGNA F.
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Czechoslovak Mathematical Journal, 2002
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Free products of unital ℓ-groups and free products of generalized MV-algebras
Algebra universalis, 2009As was shown by the first author in his paper ``Pseudo MV-algebras are intervals in \(l\)-groups'' [J. Aust. Math. Soc. 72, No. 3, 427--445 (2002; Zbl 1027.06014)], GMV-algebras are categorically equivalent to unital lattice-ordered groups. The connecting functor extends the categorical equivalence \(\Gamma\) between abelian unital lattice-ordered ...
Dvurečenskij, Anatolij +1 more
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On the entropy of partitions in product MV algebras
Soft Computing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Subreducts of MV-algebras with product and product residuation
Algebra universalis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Almost everywhere convergence in MV-algebras with product
Soft Computing, 2001This is a short technical paper in which the author generalizes some limit constructions in probability (almost everywhere convergence of random functions). The classical probability space is generalized to a probability MV-algebra \((M,m)\), where \(M\) is a \(\sigma\)-complete MV-algebra with product and \(m\) is a faithful state, and a classical ...
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A note on the conditional probability on product MV algebras
Soft Computing, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the conditional expectation on probability MV-Algebras with product
Soft Computing, 2001Let \(M\) be a \(\sigma\)-complete MV-algebra with product, let \(m\) be a faithful state on \(M\), and let \((M,m)\) be the resulting probability MV-algebra. An observable is a map of the Borel subsets of \(R\) into \(M\) partially preserving the structure of events. Let \(x\) and \(y\) be observables.
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On the Lp Space of Observables on Product MV Algebras
International Journal of Theoretical Physics, 2000Acording to [\textit{B. Riečan}, ``On the product MV algebras'', Tatra Mt. Math. Publ. 16, 143-149 (1999; Zbl 0951.06013)], a product MV algebra is an MV-algebra \((M,\oplus,\odot,\ast,0,1)\) considered together with an operation \(\cdot\) that turns \(M\) into a commutative semigroup satisfying some additional conditions formulated in terms of the ...
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ON THE SUM OF OBSERVABLES IN PRODUCT MV ALGEBRAS
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1999As an alternative to quantum logics MV algebras have been suggested2,20. In a quite general class of MV algebras there have been constructed sum of any two observables10,14,20. Recently the notion of product MV algebra has been introduced4,5,12,17.
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