Abstract
The idea of constructing a completion for a lattice-ordered group arises in two rather different contexts. On the one hand, it is natural to inquire as to the relationship .between an ℓ-group and the ℓ-group inside of which it might be represented by one of the representation theorems discussed in Chapters 2 through 5. Can the target ℓ-groups for these representation theorems be described algebraically in terms of the ℓ-group to be represented? One might naturally expect such results to be phrased in terms of the larger ℓ-group being complete in some sense.
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© 1988 D. Reidel Publishing Company, Dordrecht, Holland
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Anderson, M., Feil, T. (1988). Completions of Representable and Archimedean ℓ-groups. In: Lattice-Ordered Groups. Reidel Texts in the Mathematical Sciences, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2871-8_8
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DOI: https://doi.org/10.1007/978-94-009-2871-8_8
Publisher Name: Springer, Dordrecht
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