English

Duality for partial orthomodular lattices

Logic 2026-08-05 v1

Abstract

Partial orthomodular lattices are an intermediate class of algebras between ortholattices and orthomodular lattices. In this short note, we obtain a duality for partial orthomodular lattices via a subcategory of the category of spectral spaces, independently of the Axiom of Choice.

Cite

@article{arxiv.2608.05090,
  title  = {Duality for partial orthomodular lattices},
  author = {Joseph McDonald},
  journal= {arXiv preprint arXiv:2608.05090},
  year   = {2026}
}