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

Michael Pinsker

math.RAarXiv:math/0605411

Abstract

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

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