On archimedean -algebras
Ján Jakubík (1998)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Archimedean GMV-chains”
On archimedean -algebras
Archimedean equivalence on ordered semigroups
Bedřich Pondělíček (1972)
Czechoslovak Mathematical Journal
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Archimedean classes in an ordered semigroup. III
Tôru Saitô (1976)
Czechoslovak Mathematical Journal
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On complete -algebras
Ján Jakubík (1995)
Czechoslovak Mathematical Journal
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Embeddings of totally ordered MV-algebras of bounded cardinality
Piotr J. Wojciechowski (2009)
Fundamenta Mathematicae
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For a given cardinal number 𝔞, we construct a totally ordered MV-algebra M(𝔞) having the property that every totally ordered MV-algebra of cardinality at most 𝔞 embeds into M(𝔞). In case 𝔞 = ℵ₀, the algebra M(𝔞) is the first known MV-algebra with respect to which the deductive system for the infinitely-valued Łukasiewicz's propositional logic is strongly complete.