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 ∈ 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].