How to produce S-tense operators on lattice effect algebras

DOI10.1007/s10701-014-9818-9zbMath1319.81013OpenAlexW2076909047MaRDI QIDQ474876

Jan Paseka, Ivan Chajda, Jiří Janda

Publication date: 25 November 2014

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

Full work available at URL: https://doi.org/10.1007/s10701-014-9818-9

zbMATH Keywords

complete latticeMV-algebraeffect algebratense operatorJauch-Piron E-semi-stateJauch-Piron E-stateS-tense operator

Mathematics Subject Classification ID

Other algebras related to logic (03G25) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Algebraic aspects of posets (06A11)

Related Items (2)

Unnamed Item ⋮ Galois connections and tense operators on q-effect algebras

Cites Work

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• On tense MV-algebras
• Algebraic models of deviant modal operators based on De Morgan and Kleene lattices
• Effect algebras and unsharp quantum logics.
• Representations of monadic MV-algebras
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Algebraic foundations of many-valued reasoning
• Operators on MV-algebras and their representations.
• Dynamic effect algebras and their representations
• A duality for the algebras of a Łukasiewicz \(n+1\)-valued modal system
• Basic decomposition of elements and Jauch-Piron effect algebras
• Dynamic effect algebras
• Perfect effect algebras are categorically equivalent with Abelian interpolation po-groups
• A dynamic Effect Algebras with Dual Operation
• Tense operators on De Morgan algebras
• The σ-complete MV-algebras which have enough states

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