Jakubík, Ján On completions of linearly ordered groups. (English) Zbl 0712.06009 Čas. Pěstování Mat. 115, No. 3, 278-282 (1990). This paper contains a single theorem: If G is a linearly ordered group and H a lattice-ordered group containing G as a sublattice subgroup, and if H is Dedekind-MacNeille complete, and if the order-closure of G in H is all of H, then H is isomorphic over G to the Dedekind-MacNeille completion of G. This was known previously for Archimedean G, and stands in contrast to the more general case in which G is an (Archimedean) lattice-ordered group. Reviewer: S.McCleary Cited in 1 Document MSC: 06F15 Ordered groups Keywords:linearly ordered group; lattice-ordered group; Dedekind-MacNeille completion × Cite Format Result Cite Review PDF Full Text: DOI