Bounded Boolean powers and free product of GMV-algebras

DOI10.1007/s10773-010-0342-1zbMath1206.81013OpenAlexW1996848960MaRDI QIDQ1959215

Marek Hyčko, Anatolij Dvurečenskij

Publication date: 6 October 2010

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0342-1

zbMATH Keywords

MV-algebrafree productGMV-algebraBoolean power

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Logical aspects of ?ukasiewicz and Post algebras (03G20)

Cites Work

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• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Free products in the category of Abelian \(\ell\)-groups with strong unit
• Difference posets, effects, and quantum measurements
• Generalized ``Boolean theory of universal algebras. I. Subdirect sums and normal representation theorem
• Generalized ``Boolean theory of universal algebras. II. Identities and subdirect sums of functionally complete algebras
• A non-commutative generalization of MV-algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Topological Representation of Algebras
• Products of abstract algebras

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