On \((3,3)\)-homogeneous greechie orthomodular posets

DOI10.1007/S10773-005-7072-9zbMATH Open1103.06005arXivmath/0211311OpenAlexW2010688346MaRDI QIDQ2505980

Foat F. Sultanbekov

Publication date: 28 September 2006

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Abstract: We describe a (3,3)-homogeneous orthomodular posets for some cardinality of their sets of atoms. We examine a state space and a set of two-valued states of such logics. Particular homogeneous OMPs with exactly k pure states (k=1,...,7, 10,11)

Full work available at URL: https://arxiv.org/abs/math/0211311

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Complemented lattices, orthocomplemented lattices and posets (06C15)

Cites Work

• Finite concrete logics: their structure and measures on them
• Exotic logics
• CONSTRUCTION OF ORTHOMODULAR LATTICES WITH GIVEN STATE SPACES
• A remark on $\lambda$-regular orthomodular lattices
• Measures on finite concrete logics
• An Orthomodular Lattice Admitting No Group-Valued Measure
• Decompositions in Quantum Logic
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Related Items (2)

Quantum structures without group-valued measures ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018)

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