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2010

More Sublattices of the Lattice of Local Clones

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More Sublattices of the Lattice of Local Clones
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at most countably many compact elements as complete sublattices, but that the class of lattices embeddable into the local clone lattice is strictly larger than that: For example, the lattice M2ω is a sublattice of the local clone lattice.
Michael Pinsker
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where ORDER
Authors Michael Pinsker
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