Abstract
Lattice-ordered groups admit a rich variety of completeness notions; some examples are conditional completeness (every bounded subset has a supremum), lateral completeness (every pairwise disjoint subset has a supremum), and projectability (each polar is a cardinal summand). For a completeness property C one then hopes for a completion result of the following form.
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© 1989 Kluwer Academic Publishers
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Ball, R.N. (1989). Completions of l-Groups. In: Glass, A.M.W., Holland, W.C. (eds) Lattice-Ordered Groups. Mathematics and Its Applications, vol 48. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2283-9_8
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DOI: https://doi.org/10.1007/978-94-009-2283-9_8
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-94-009-2283-9
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