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Elementary properties of ordered abelian groups
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- by Abraham Robinson and Elias Zakon
- Trans. Amer. Math. Soc. 96 (1960), 222-236
- DOI: https://doi.org/10.1090/S0002-9947-1960-0114855-0
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References
- Jean Braconnier, Sur les groupes topologiques localement compacts, J. Math. Pures Appl. (9) 27 (1948), 1–85 (French). MR 25473
- Felix Hausdorff, Set theory, Chelsea Publishing Co., New York, 1957. Translated by John R. Aumann, et al. MR 0086020
- Irving Kaplansky, Infinite abelian groups, University of Michigan Press, Ann Arbor, 1954. MR 0065561 A. G. Kurosh, The theory of groups, New York, 1956.
- C. H. Langford, Some theorems on deducibility, Ann. of Math. (2) 28 (1926/27), no. 1-4, 16–40. MR 1502760, DOI 10.2307/1968352
- Heinz Prüfer, Untersuchungen über die Zerlegbarkeit der abzählbaren primären Abelschen Gruppen, Math. Z. 17 (1923), no. 1, 35–61 (German). MR 1544601, DOI 10.1007/BF01504333
- Abraham Robinson, Ordered structures and related concepts, Mathematical interpretation of formal systems, North-Holland Publishing Co., Amsterdam, 1955, pp. 51–56. MR 0075153
- Abraham Robinson, Complete theories, North-Holland Publishing Co., Amsterdam, 1956. MR 0075897
- W. Szmielew, Elementary properties of Abelian groups, Fund. Math. 41 (1955), 203–271. MR 72131, DOI 10.4064/fm-41-2-203-271 A. Tarski, Grundzüge des Systemenkalküls, Fund. Math. vol. 25 (1935) pp. 503-526 and vol. 26 (1936) pp. 283-301. E. Zakon, Generalized archimedian groups, submitted for publication in Trans. Amer. Math. Soc.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 96 (1960), 222-236
- MSC: Primary 20.00; Secondary 02.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0114855-0
- MathSciNet review: 0114855