Abstract
We show that each abelian l–group G is a large l–subgroup of a minimal vector lattice V and if G is archimedean then V is unique, in fact, V is the l–subspace of (Gd)^ that is generated by G, where Gd is the divisible hull of G and (Gd)^ is the Dedekind-MacNeille completion of Gd. If G is non-archimedean then V need not be unique, even if G is totally ordered.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. [3] Conrad Paul , “Free abelian l–groups and vector lattices”, Math. Ann. (to appear).
2. The Completion of a Lattice Ordered Group
3. Orthocompletion of Lattice Groups
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