Representation and distributivity of Boolean algebras
Roman Sikorski (1961)
Colloquium Mathematicum
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Displaying similar documents to “On the injectivity of Boolean algebras”
Representation and distributivity of Boolean algebras
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Algebraic logic, I. Monadic boolean algebras
Paul R. Halmos (1954-1956)
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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 elementary-equivalence classes of clopen algebras of P-spaces
Brian Wynne (2008)
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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.
Large Subalgebras of a Boolean Algebra
Slobodan Vujošević (1989)
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The notion of an elementary subsystem for a Boolean-valued relational system
L. Szczerba (1973)
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Some remarks on Boolean duality
Wright, F.B. (1957)
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Topological representation for monadic implication algebras
Abad Manuel, Cimadamore Cecilia, Díaz Varela José (2009)
Open Mathematics
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In this paper, every monadic implication algebra is represented as a union of a unique family of monadic filters of a suitable monadic Boolean algebra. Inspired by this representation, we introduce the notion of a monadic implication space, we give a topological representation for monadic implication algebras and we prove a dual equivalence between the category of monadic implication algebras and the category of monadic implication spaces.