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

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

2006-05-15

arxiv.org/abs/math/0605411v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

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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