Sublattices of the lattice of local clones

Details Sublattices of the lattice of local clones Sublattices of the lattice of local clones

2008-01-15

arxiv.org/abs/0801.2392v1

Mathematics

Rings and Algebras

9 pages

Scientific paper

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.

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