On EMV-algebras with square roots

DOI10.1016/j.jmaa.2023.127113OpenAlexW4320487107MaRDI QIDQ2696391

Anatolij Dvurečenskij, Omid Zahiri

Publication date: 14 April 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.00862

zbMATH Keywords

MV-algebrasquare rootgeneralized Boolean algebraEMV-algebrastrict EMV-algebrastrict square root

Mathematics Subject Classification ID

Distributive lattices (06Dxx) Algebraic logic (03Gxx) Ordered structures (06Fxx)

Cites Work

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• The representation of square root quasi-pseudo-MV algebras
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• Generalized Boolean algebras in lattice-ordered groups
• Strict MV-algebras
• Morphisms on EMV-algebras and their applications
• Notes on divisible MV-algebras
• Algebraic foundations of many-valued reasoning
• A variety containing EMV-algebras and Pierce sheaves of EMV-algebras
• Locally \(\sigma \)-complete and locally complete EMV-algebras
• States on EMV-algebras
• On EMV-algebras
• Expanding quasi-MV algebras by a quantum operator
• THE LOOMIS–SIKORSKI THEOREM FOR -ALGEBRAS
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• A non-commutative generalization of MV-algebras
• Some Properties of Residuated Lattices
• Loomis-Sikorski theorem for monotone σ-complete effect algebras

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