English

N-free posets and orthomodularity

Combinatorics 2024-01-24 v1

Abstract

We prove that the incomparability orthoset of a finite poset is Dacey if and only if the poset is N-free. We give a characterization of finite posets with compatible incomparability orthosets.

Cite

@article{arxiv.2401.12749,
  title  = {N-free posets and orthomodularity},
  author = {Gejza Jenča},
  journal= {arXiv preprint arXiv:2401.12749},
  year   = {2024}
}
R2 v1 2026-06-28T14:24:41.926Z