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Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras

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Abstract

A convergence with a fixed regulator v in lattice ordered groups is applied to MV-algebras. For each Archimedean MV-algebra A there exists a v-Cauchy completion A * and it is uniquely determined up to isomorphisms over A. The relation between the Dedekind completion A ∧ of A and A * is established. There is solved a question of the existence of the greatest v-Cauchy complete ideal of A.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Akademy of Sciences, Grešákova 6, 040 01, Košice, Slovakia

    Štefan Černák

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  1. Štefan Černák
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Correspondence to Štefan Černák.

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Černák, Š. Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras. Soft Comput 12, 453–462 (2008). https://doi.org/10.1007/s00500-007-0211-x

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