On the tensor product of a Boolean algebra and an orthoalgebra
David J. Foulis, Pavel Pták (1995)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Differential independence via an associative product of infinitely many linear functionals”
On the tensor product of a Boolean algebra and an orthoalgebra
Correction to the paper "Reduced direct products"
T. Frayne, A. Morel, D. Scott (1964)
Fundamenta Mathematicae
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Didactical note: probabilistic conditionality in a Boolean algebra.
Enric Trillas, Claudi Alsina, Settimo Termini (1996)
Mathware and Soft Computing
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This note deals with two logical topics and concerns Boolean Algebras from an elementary point of view. First we consider the class of operations on a Boolean Algebra that can be used for modelling If-then propositions. These operations, or Conditionals, are characterized under the hypothesis that they only obey to the Modus Ponens-Inequality, and it is shown that only six of them are boolean two-place functions. Is the Conditional Probability the Probability of a Conditional? This problem...
Rosenthal sets that cannot be sup-norm partitioned and an application to tensor products
Ron C. Blei (1977)
Colloquium Mathematicae
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On nonlinear complexity of monotone realization of a family of Boolean sums.
Šćepanović, R.L. (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Local properties of complete Boolean products
Martin Gavalec (1985)
Colloquium Mathematicae
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The monotone cumulants
Takahiro Hasebe, Hayato Saigo (2011)
Annales de l'I.H.P. Probabilités et statistiques
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In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean and especially, monotone probability theories. The uniqueness of generalized cumulants holds for each independence, and hence, generalized cumulants are equal to the usual cumulants in the commutative, free and Boolean cases. The way we define (generalized) cumulants needs neither partition lattices nor generating functions and then will give a new viewpoint...
A Remark on Subsets of Free Boolean Algebras
Žikica Perović (1988)
Publications de l'Institut Mathématique
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Free products and elementary types of Boolean Algebras.
Philip Olin (1976)
Mathematica Scandinavica
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On extensions and products of Boolean algebras
Roman Sikorski (1964)
Fundamenta Mathematicae
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Semigroups related to additive and multiplicative, free and Boolean convolutions
Octavio Arizmendi, Takahiro Hasebe (2013)
Studia Mathematica
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Belinschi and Nica introduced a composition semigroup of maps on the set of probability measures. Using this semigroup, they introduced a free divisibility indicator, from which one can know quantitatively if a measure is freely infinitely divisible or not. In the first half of the paper, we further investigate this indicator: we calculate how the indicator changes with respect to free and Boolean powers; we prove that free and Boolean 1/2-stable laws have free divisibility indicators...