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Free Boolean algebras in algebra, topology and logic. (Spanish. English summary) Zbl 07802831

Summary: In this paper we review the appearance of free Boolean algebras in various contexts of Mathematics. Next we build a representation of finite free Boolean algebras by means of Peirce’s Alpha graphs.

MSC:

03G05 Logical aspects of Boolean algebras
03B65 Logic of natural languages
06E05 Structure theory of Boolean algebras
06E75 Generalizations of Boolean algebras
06E25 Boolean algebras with additional operations (diagonalizable algebras, etc.)