Geodesic
Embeddings of totally ordered MV-algebras of bounded cardinality
Piotr J. Wojciechowski1
1 Department of Mathematical Sciences The University of Texas at El Paso El Paso, TX 79968, U.S.A.
Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 57-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For a given cardinal number $\mathfrak{a}$, we construct a totally ordered MV-algebra $M(\mathfrak{a})$ having the property that every totally ordered MV-algebra of cardinality at most $\mathfrak{a}$ embeds into $M(\mathfrak{a})$. In case $\mathfrak{a} = \aleph_0$, the algebra $M(\mathfrak{a})$ is the first known MV-algebra with respect to which the deductive system for the infinitely-valued Łukasiewicz's propositional logic is strongly complete.
DOI : 10.4064/fm203-1-5
Keywords: given cardinal number mathfrak construct totally ordered mv algebra mathfrak having property every totally ordered mv algebra cardinality mathfrak embeds mathfrak mathfrak aleph algebra mathfrak first known mv algebra respect which deductive system infinitely valued ukasiewiczs propositional logic strongly complete

Piotr J. Wojciechowski 1

1 Department of Mathematical Sciences The University of Texas at El Paso El Paso, TX 79968, U.S.A. 
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Piotr J. Wojciechowski. Embeddings of totally ordered MV-algebras of bounded cardinality. Fundamenta Mathematicae, Tome 203 (2009) no. 1, pp. 57-63. doi: 10.4064/fm203-1-5

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