A stateless orthomodular poset with the augmentation property
In the matrix representation of an effect algebra L (in particular, an orthomodular poset), if L admits a state, then its matrix M (L) has the augmentation property (rank(M (L)) = rank(M (L)|1)).We show that the reverse implication is not true, thus answering an open question published on effect algebras.
Authors
- Dominika Burešová (ORCID: https://orcid.org/0000-0002-8760-5015)
- Mirko Navara (ORCID: https://orcid.org/0000-0002-0880-5992)
Publication Details
- Journal
- Kybernetika
- Published
- 2026-01-13
- DOI
- https://doi.org/10.14736/kyb-2026-1-0001
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00