A note on ideals in synaptic algebras

DOI10.2478/s12175-012-0067-0zbMath1274.06063OpenAlexW2081104331MaRDI QIDQ4902248

Sylvia Pulmannová

Publication date: 25 January 2013

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-012-0067-0

zbMATH Keywords

symmetryprojectionorthomodular latticeJordan algebrasynaptic algebraeffectcarrier projectionorder-unit spacep-idealquadratic ideal

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Abstract operator algebras on Hilbert spaces (47L30) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered rings, algebras, modules (06F25)

Related Items

Banach synaptic algebras ⋮ Type-decomposition of a synaptic algebra ⋮ Every synaptic algebra has the monotone square root property ⋮ Spectral order on a synaptic algebra ⋮ States and synaptic algebras ⋮ A Loomis-Sikorski theorem and functional calculus for a generalized Hermitian algebra ⋮ Kadison's antilattice theorem for a synaptic algebra ⋮ Observables on synaptic algebras ⋮ A projection and an effect in a synaptic algebra ⋮ Two projections in a synaptic algebra ⋮ Symmetries in synaptic algebras

Cites Work

• Projections in a synaptic algebra