Note on Hahn’s theorem on ordered abelian groups

Clifford, A. H.

doi:10.1090/S0002-9939-1954-0067882-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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Note on Hahn’s theorem on ordered abelian groups
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by A. H. Clifford

Proc. Amer. Math. Soc. 5 (1954), 860-863

DOI: https://doi.org/10.1090/S0002-9939-1954-0067882-9

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References

Reinhold Baer, The subgroup of the elements of finite order of an abelian group, Ann. of Math. (2) 37 (1936), no. 4, 766–781. MR 1503308, DOI 10.2307/1968617

Über die nichtarchimedischen Grössensysteme

M. Hausner and J. G. Wendel, Ordered vector spaces, Proc. Amer. Math. Soc. 3 (1952), 977–982. MR 52045, DOI 10.1090/S0002-9939-1952-0052045-1
Paul F. Conrad, Embedding theorems for abelian groups with valuations, Amer. J. Math. 75 (1953), 1–29. MR 53933, DOI 10.2307/2372611