Distinguished completion of a direct product of lattice ordered groups
Ján Jakubík (2001)
Czechoslovak Mathematical Journal
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The distinguished completion of a lattice ordered group was investigated by Ball [1], [2], [3]. An analogous notion for -algebras was dealt with by the author [7]. In the present paper we prove that if a lattice ordered group is a direct product of lattice ordered groups , then is a direct product of the lattice ordered groups . From this we obtain a generalization of a result of Ball [3].