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On the conditional expectation on probability MV-Algebras with product

Soft Computing, 2001
Let \(M\) 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, 2000
Acording 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, 1999
As 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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The Free Product of MV-Algebras

2011
As the reader will recall, unless otherwise specified, all MV-algebras considered in this book ...
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A Note on the Individual Ergodic Theorem on Product MV Algebras

International Journal of Theoretical Physics, 2000
The well-known individual ergodic theorem has been proved for observables defined on a tribe \(M\) of fuzzy sets [see \textit{B. Riečan} and \textit{T. Neubrunn}, ``Integral, measure, and ordering'' (1997; Zbl 0916.28001)]. In the paper the result is generalized for an arbitrary MV-algebra \(M\) with product.
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On the entropy of dynamical systems in product MV algebras

Fuzzy Sets and Systems, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The addition to the ergodic theorem on probability MV-algebras with product

Soft Computing, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Kleene-isomorphic sigma-complete MV-algebras with product are isomorphic

2006
Special issue in memoriam H. Thiele We prove that the Kleene structure in a σ-complete MV-algebra with product is sufficient to recover the MV ...
MUNDICI, DANIELE, R. Cignoli, M. Navara
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Tensor product modules over the twisted Heisenberg–Virasoro algebra

Linear and Multilinear Algebra, 2022
Haibo Chen
exaly  

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