Effect algebras are conditionally residuated structures

DOI10.1007/s00500-010-0677-9zbMath1247.03134OpenAlexW2081912602MaRDI QIDQ422485

Radomír Halaš, Ivan Chajda

Publication date: 16 May 2012

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

Full work available at URL: https://doi.org/10.1007/s00500-010-0677-9

zbMATH Keywords

quantum logiceffect algebrapseudoeffect algebrapartial algebraresiduated structure

Mathematics Subject Classification ID

Quantum logic (03G12)

Related Items (10)

Residuated operators in complemented posets ⋮ A representation of skew effect algebras ⋮ Very true operators in effect algebras ⋮ Lattice pseudoeffect algebras as double residuated structures ⋮ Residuated skew lattices ⋮ Skew residuated lattices ⋮ Residuation in lattice effect algebras ⋮ Properties of implication in effect algebras ⋮ Material implications in lattice effect algebras ⋮ Unnamed Item

Cites Work

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• Many-valued quantum algebras
• Every effect algebra can be made into a total algebra
• Are basic algebras residuated structures?
• Pseudoeffect algebras. I: Basic properties
• Pseudoeffect algebras. II: Group representations

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