English

A Distributive Lattice Cover for Semilattices

Combinatorics 2009-02-03 v1

Abstract

We consider two constructions of an envelope for a finite locally distributive strong upper semilattice. The first is based on Birkhoff's representation of finite distributive lattices and the second on valuations on lattices. We show that these produce isomorphic envelopes.

Keywords

Cite

@article{arxiv.0902.0360,
  title  = {A Distributive Lattice Cover for Semilattices},
  author = {Colin Bailey and Joseph Oliveira},
  journal= {arXiv preprint arXiv:0902.0360},
  year   = {2009}
}

Comments

7 pages

R2 v1 2026-06-21T12:07:13.464Z