Representation and distributivity of Boolean algebras
Roman Sikorski (1961)
Colloquium Mathematicum
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Displaying similar documents to “A Note to Rieger’s Paper „On Free -complete Boolean Algebras'”
Representation and distributivity of Boolean algebras
Cartesian products of Boolean algebras
Roman Sikorski (1950)
Fundamenta Mathematicae
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On a problem of Sikorski in the set representability of Boolean algebras
Robert Lagrange (1974)
Colloquium Mathematicae
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Algebraic logic, I. Monadic boolean algebras
Paul R. Halmos (1954-1956)
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The elementary-equivalence classes of clopen algebras of P-spaces
Brian Wynne (2008)
Fundamenta Mathematicae
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Two Boolean algebras are elementarily equivalent if and only if they satisfy the same first-order statements in the language of Boolean algebras. We prove that every Boolean algebra is elementarily equivalent to the algebra of clopen subsets of a normal P-space.
Products of abstract algebras
Roman Sikorski (1952)
Fundamenta Mathematicae
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A Remark on Subsets of Free Boolean Algebras
Žikica Perović (1988)
Publications de l'Institut Mathématique
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On the injectivity of Boolean algebras
Bernhard Banaschewski (1993)
Commentationes Mathematicae Universitatis Carolinae
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The functor taking global elements of Boolean algebras in the topos of sheaves on a complete Boolean algebra is shown to preserve and reflect injectivity as well as completeness. This is then used to derive a result of Bell on the Boolean Ultrafilter Theorem in -valued set theory and to prove that (i) the category of complete Boolean algebras and complete homomorphisms has no non-trivial injectives, and (ii) the category of frames has no absolute retracts.