The independence of the axiom of choice from the Boolean prime ideal theorem
J. Halperin (1964)
Fundamenta Mathematicae
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Displaying similar documents to “Aximos and some properties of Post algebras”
The independence of the axiom of choice from the Boolean prime ideal theorem
Partially additive states on orthomodular posets
Josef Tkadlec (1991)
Colloquium Mathematicae
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We fix a Boolean subalgebra B of an orthomodular poset P and study the mappings s:P → [0,1] which respect the ordering and the orthocomplementation in P and which are additive on B. We call such functions B-states on P. We first show that every P possesses "enough" two-valued B-states. This improves the main result in [13], where B is the centre of P. Moreover, it allows us to construct a closure-space representation of orthomodular lattices. We do this in the third section. This result...
Remarks on Henkin's paper: Boolean representation trough, propositional calculus
J. Łoś (1957)
Fundamenta Mathematicae
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Effectiveness of the representation theory for Boolean algebras
J. Łoś, Czesław Ryll-Nardzewski (1955)
Fundamenta Mathematicae
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On a characterization of the lattice of all ideals of a Boolean ring
Leopoldo Nachbin (1949)
Fundamenta Mathematicae
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Boolean powers
P. Ribenboin (1969)
Fundamenta Mathematicae
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Two theorems of functional analysis effectively equivalent to choice axioms
D. Edwards (1975)
Fundamenta Mathematicae
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Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem
Eric Schechter (2006)
Fundamenta Mathematicae
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The principle that "any product of cofinite topologies is compact" is equivalent (without appealing to the Axiom of Choice) to the Boolean Prime Ideal Theorem.
On the lattice of subalgebras of a Boolean algebra
K. P. Bhaskara Rao, M. Bhaskara Rao (1979)
Czechoslovak Mathematical Journal
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