A stateless orthomodular poset with the augmentation property
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Logic
Fuzzy and Soft Set Theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Kybernetika
- Pages
- 1–6
- Publication date
- 13 January 2026
- Language
- EN