Atomistic and orthoatomistic effect algebras

DOI10.1063/1.2912228zbMath1152.81619arXiv0712.3714OpenAlexW2151043462MaRDI QIDQ5504916

Josef Tkadlec

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.3714

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items

Musings about the triple representation theorem for effect algebras, Common generalizations of orthocomplete and lattice effect algebras, Hull determination and type decomposition for a generalized effect algebra, Torsion elements in effect algebras, Note on generalizations of orthocomplete and lattice effect algebras, Quotients of dimension effect algebras, Interpolations in posets and effect algebras, Properties of effect algebras based on sets of upper bounds, Hull mappings and dimension effect algebras, Characterization of homogeneity in orthocomplete atomic effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Central elements of atomic effect algebras
• Filters and supports in orthoalgebras
• A particular non-atomistic orthomodular poset