Spectral resolutions and observables in \(n\)-perfect MV-algebras

DOI10.1007/S00500-019-04543-WzbMath1436.06030OpenAlexW2990076913WikidataQ126625372 ScholiaQ126625372MaRDI QIDQ780273

Anatolij Dvurečenskij, Dominik Lachman

Publication date: 15 July 2020

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-019-04543-w

zbMATH Keywords

observablestateMV-algebracategorical equivalencespectral resolutionLoomis-Sikorski theorem\(n\)-perfect MV-algebraperfect MV-algebraprincipal radicalRad-Dedekind \(\sigma \)-completeness

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered semigroups and monoids (06F05)

Related Items (6)

Observables on \(\sigma\)-frame effect algebras as upper semicontinuous functions ⋮ \(n\)-dimensional observables on \(k\)-perfect MV-algebras and \(k\)-perfect effect algebras. I: Characteristic points ⋮ \(n\)-dimensional observables on \(k\)-perfect MV-algebras and \(k\)-perfect effect algebras. II: One-to-one correspondence ⋮ Observables on lexicographic effect algebras ⋮ An improved expression for information quality of basic probability assignment and its application in target recognition ⋮ Sum of \(n\)-dimensional observables on MV-effect algebras

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