Embeddings of totally ordered MV-algebras of bounded cardinality

• Autorzy: Piotr J. Wojciechowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 06F20: Ordered abelian groups, Riesz groups, ordered linear spaces
• 06D35: MV-algebras

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 1
• Strony: 57-63

Daty

wydano

2009

Twórcy

autor

Piotr J. Wojciechowski

• Department of Mathematical Sciences, The University of Texas at El Paso, El Paso, TX 79968, U.S.A.

Identyfikatory

DOI

10.4064/fm203-1-5