Representation and distributivity of Boolean algebras
Roman Sikorski (1961)
Colloquium Mathematicum
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Displaying similar documents to “Roman Sikorski (11 July 1920 - 12 September 1983) Biographic note.”
Representation and distributivity of Boolean algebras
Boolean representation trough propositional calculus
Leon Henkin (1955)
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A remark on Sikorski's extension theorem for homomorphisms in the theory of Boolean algebras
W. Luxemburg (1964)
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The notion of an elementary subsystem for a Boolean-valued relational system
L. Szczerba (1973)
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Algebraic logic, I. Monadic boolean algebras
Paul R. Halmos (1954-1956)
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On dense subsets of Boolean algebras
Roman Sikorski (1963)
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The integral in a Boolean algebra
Roman Sikorski (1949)
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A Note to Rieger’s Paper „On Free -complete Boolean Algebras"
Roman Sikorski (1951)
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On the set representation of an orthomodular poset
John Harding, Pavel Pták (2001)
Colloquium Mathematicae
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Let P be an orthomodular poset and let B be a Boolean subalgebra of P. A mapping s:P → ⟨0,1⟩ is said to be a centrally additive B-state if it is order preserving, satisfies s(a') = 1 - s(a), is additive on couples that contain a central element, and restricts to a state on B. It is shown that, for any Boolean subalgebra B of P, P has an abundance of two-valued centrally additive B-states. This answers positively a question raised in [13, Open question, p. 13]. As a consequence one obtains...
On a generalization of theorems of Banach and Cantor-Bernstein
Roman Sikorski (1948)
Colloquium Mathematicum
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