On ordered groups
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- by C. J. Everett and S. Ulam
- Trans. Amer. Math. Soc. 57 (1945), 208-216
- DOI: https://doi.org/10.1090/S0002-9947-1945-0012285-5
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References
- Garrett Birkhoff, Lattice, ordered groups, Ann. of Math. (2) 43 (1942), 298–331. MR 6550, DOI 10.2307/1968871 —, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, 1940.
- Henri Cartan, Un théorème sur les groupes ordonnés, Bull. Sci. Math. 63 (1939), 201–205 (French). MR 0000259
- A. H. Clifford, Partially ordered abelian groups, Ann. of Math. (2) 41 (1940), 465–473. MR 2134, DOI 10.2307/1968728
- C. J. Everett, Sequence completion of lattice moduls, Duke Math. J. 11 (1944), 109–119. MR 9592 L. V. Kantorovitch, Lineare halbgeordnete Räume, Rec. Math. (Mat. Sbornik) N.S. vol. 44 (1937) pp. 121-165.
- H. M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), no. 3, 416–460. MR 1501929, DOI 10.1090/S0002-9947-1937-1501929-X J. Schreier and S. Ulam, Eine Bemerkung über die Gruppe der topologischen Abbildungen der Kreislinie auf sich selbst, Studia Mathematica vol. 5 (1935) pp. 155-159.
Bibliographic Information
- © Copyright 1945 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 57 (1945), 208-216
- MSC: Primary 20.0X
- DOI: https://doi.org/10.1090/S0002-9947-1945-0012285-5
- MathSciNet review: 0012285