Distinguished Completion of a Direct Product of Lattice Ordered Groups
Ján Jakubík · Czechoslovak Mathematical Journal · 2001
The distinguished completion E(G) of a lattice ordered group G was investigated by Ball [1], [2], [3]. An analogous notion for MV -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].