Atomistic and orthoatomistic effect algebras
- 1 May 2008
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 49 (5)
- https://doi.org/10.1063/1.2912228
Abstract
We characterize atomistic effect algebras, prove that a weakly orthocomplete Archimedean atomic effect algebra is orthoatomistic and present an example of an orthoatomistic orthomodular poset that is not weakly orthocomplete.Comment: 6 pageThis publication has 6 references indexed in Scilit:
- Central Elements of Atomic Effect AlgebrasInternational Journal of Theoretical Physics, 2005
- New Trends in Quantum StructuresPublished by Springer Science and Business Media LLC ,2000
- Effect algebras and unsharp quantum logicsFoundations of Physics, 1994
- Filters and supports in orthoalgebrasInternational Journal of Theoretical Physics, 1992
- Toward a formal language for unsharp propertiesFoundations of Physics, 1989
- A particular non-atomistic orthomodular posetCommunications in Mathematical Physics, 1969