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Finite free generating sets

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Abstract

In this paper we find the number of free generating sets with q elements for free algebras in the varieties of Boolean algebras, three-valued Łukasiewicz algebras, (0, 1)-distributive lattices and De Morgan algebras. For the varieties of Boolean algebras, three-valued Łukasiewicz algebras and Post algebras we also provide an explicit construction of a finite free generating set.

Keywords

Free algebras
Distributive lattices
Boolean algebras
Łukasiewicz and Post algebras
De Morgan algebras

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