More sublattices of the lattice of local clones

Details More sublattices of the lattice of local clones More sublattices of the lattice of local clones

2010-09-04

arxiv.org/abs/1009.0830v1

Mathematics

Rings and Algebras

13 pages; subsumes the conference version arXiv:0801.2392 entitled "Sublattices of the lattice of local clones" by the same au

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: For example, the lattice $M_{2^\omega}$ is a sublattice of the local clone lattice.

Affiliated with

Also associated with

No associations

Rating

More sublattices of the lattice of local clones does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with More sublattices of the lattice of local clones, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and More sublattices of the lattice of local clones will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284815