On cut completions of abelian lattice ordered groups

Ján Jakubík

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Displaying similar documents to “On cut completions of abelian lattice ordered groups”

Distinguished completion of a direct product of lattice ordered groups

Ján Jakubík (2001)

Czechoslovak Mathematical Journal

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The distinguished completion $E (G)$ of a lattice ordered group $G$ was investigated by Ball [1], [2], [3]. An analogous notion for $M V$ -algebras was dealt with by the author [7]. In the present paper we prove that if a lattice ordered group $G$ is a direct product of lattice ordered groups $G_{i}$ $(i \in I)$ , then $E (G)$ is a direct product of the lattice ordered groups $E (G_{i})$ . From this we obtain a generalization of a result of Ball [3].

Maximal Dedekind completion of a half lattice ordered group

Štefan Černák (1999)

Mathematica Slovaca

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Lateral completion of a projectable lattice ordered group

Ján Jakubík (2000)

Czechoslovak Mathematical Journal

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