Algebraic lattices are complete sublattices of the clone lattice over an infinite set
classification
🧮 math.RA
math.LO
keywords
latticealgebraiccompleteclonecompactelementsinfiniteevery
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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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