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On ordered groups. (English) Zbl 0061.03406


Keywords:

group theory
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References:

[1] Garrett Birkhoff, Lattice, ordered groups, Ann. of Math. (2) 43 (1942), 298 – 331. · Zbl 0060.05808
[2] -, Lattice theory, Amer. Math. Soc. Colloquium Publications, vol. 25, 1940.
[3] Henri Cartan, Un théorème sur les groupes ordonnés, Bull. Sci. Math. 63 (1939), 201 – 205 (French). · Zbl 0023.21401
[4] A. H. Clifford, Partially ordered abelian groups, Ann. of Math. (2) 41 (1940), 465 – 473. · Zbl 0025.00801
[5] C. J. Everett, Sequence completion of lattice moduls, Duke Math. J. 11 (1944), 109 – 119. · Zbl 0060.06301
[6] L. V. Kantorovitch, Lineare halbgeordnete Räume, Rec. Math. (Mat. Sbornik) N.S. vol. 44 (1937) pp. 121-165. · JFM 63.0353.01
[7] H. M. MacNeille, Partially ordered sets, Trans. Amer. Math. Soc. 42 (1937), no. 3, 416 – 460. · Zbl 0017.33904
[8] 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. · Zbl 0013.05603
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