MV-algebras with operators (the commutative and the non-commutative case).

DOI10.1016/S0012-365X(03)00080-3zbMath1038.06006MaRDI QIDQ1421512

Paul Flondor, Ioana Leuştean

Publication date: 26 January 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

operatorMV-algebrapseudo MV-algebra\(\ell u\)-group

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (5)

Stochastic independence for probability MV-algebras ⋮ Łukasiewicz logic and Riesz spaces. ⋮ Scalar extensions for algebraic structures of Łukasiewicz logic. ⋮ State operators on GMV algebras ⋮ State-morphism MV-algebras

Cites Work

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• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Groupes et anneaux reticules
• Tensor products and the Loomis-Sikorski theorem for MV-algebras
• MV-modules
• Algebraic foundations of many-valued reasoning
• Algebraic Analysis of Many Valued Logics
• Pseudo MV-algebras are intervals in ℓ-groups

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