Displaying similar documents to “Problems in Boolean algebras”

Another note on countable Boolean algebras

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.

Boolean algebras admitting a countable minimally acting group

Aleksander Błaszczyk, Andrzej Kucharski, Sławomir Turek (2014)

Open Mathematics

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The aim of this paper is to show that every infinite Boolean algebra which admits a countable minimally acting group contains a dense projective subalgebra.

On Boolean modus ponens.

Sergiu Rudeanu (1998)

Mathware and Soft Computing

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An abstract form of modus ponens in a Boolean algebra was suggested in [1]. In this paper we use the general theory of Boolean equations (see e.g. [2]) to obtain a further generalization. For a similar research on Boolean deduction theorems see [3].