Full embeddings into the categories of Boolean algebras

Věra Trnková

Weakly monadic Boolean extension functors

J. Dukarm (1980)

Fundamenta Mathematicae

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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 $𝐒𝐡 𝔅$ of sheaves on a complete Boolean algebra $𝔅$ 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 $𝔅$ -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.

Representation and distributivity of Boolean algebras

Roman Sikorski (1961)

Colloquium Mathematicum

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Displaying similar documents to “Full embeddings into the categories of Boolean algebras”

Weakly monadic Boolean extension functors

On the injectivity of Boolean algebras

Representation and distributivity of Boolean algebras