Abstract
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].
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References
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Jakubik, J. Distinguished Completion of a Direct Product of Lattice Ordered Groups. Czechoslovak Mathematical Journal 51, 661–671 (2001). https://doi.org/10.1023/A:1013748425716
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DOI: https://doi.org/10.1023/A:1013748425716