### Enlargements of Boolean algebras and Stone spaces

H. Gonshor (1978)

Fundamenta Mathematicae

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H. Gonshor (1978)

Fundamenta Mathematicae

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Lutz Heindorf (1996)

Commentationes Mathematicae Universitatis Carolinae

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We prove that a Boolean algebra is countable iff its subalgebra lattice admits a continuous complementation.

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.

Wiesław Głowczyński (2008)

Acta Universitatis Carolinae. Mathematica et Physica

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William Hanf (1976)

Fundamenta Mathematicae

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Miroslav Katětov (1951)

Colloquium Mathematicae

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