Homology of Distributive Lattices

Details Homology of Distributive Lattices Homology of Distributive Lattices

2011-11-21

arxiv.org/abs/1111.4772v1

Mathematics

Geometric Topology

30 pages, 3 tables, 3 figures

Scientific paper

We outline the theory of sets with distributive operations: multishelves and multispindles, with examples provided by semi-lattices, lattices and skew lattices. For every such a structure we define multi-term distributive homology and show some of its properties. The main result is a complete formula for the homology of a finite distributive lattice. We also indicate the answer for unital spindles and conjecture the general formula for semi-lattices and some skew lattices. Then we propose a generalization of a lattice as a set with a number of idempotent operations satisfying the absorption law.

Affiliated with

Also associated with

No associations

Rating

Homology of Distributive Lattices 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 Homology of Distributive Lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homology of Distributive Lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-376095