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Algebraic lattices are complete sublattices of the clone lattice over an infinite set

Michael Pinsker
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Abstract

The clone lattice Cl(X) over an infinite set X is a complete algebraic lattice with 2^X compact elements. We show that every algebraic lattice with at most 2^X compact elements is a complete sublattice of Cl(X).

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Michael Pinsker. 2006-05-15. Algebraic lattices are complete sublattices of the clone lattice over an infinite set. https://arxiv.org/abs/math/0605411

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