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Conrad, Paul

The lattice of all convex l-subgroups of a lattice-ordered group. (English) Zbl 0135.06301

Czech. Math. J. 15(90), 101-123 (1965).
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Cited in 54 Documents

Keywords:

group theory
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References:

[1] K. Aubert: Theory of x-ideals. Acta Math. 107 (1962), 1-52. · Zbl 0108.26002 · doi:10.1007/BF02545781
[2] G. Birkhoff: Lattice theory. Rev. (1949), Amer. Math. Soc. Colloquium Pub. 25. · Zbl 0063.00402
[3] P. Conrad: Embedding theorems for abelian groups with valuations. Amer. J. Math. 75 (1953), 1-29. · Zbl 0050.02303 · doi:10.2307/2372611
[4] P. Conrad: Some structure theorems for lattice-ordered groups. Trans. Amer. Math. Soc. 99 (1961), 212-240. · Zbl 0099.25401 · doi:10.2307/1993391
[5] P. Conrad J. Harvey C. Holland: The Hahn embedding theorem for abelian lattice-ordered groups. Trans. Amer. Math. Soc. 108 (1963), 143-169. · Zbl 0126.05002 · doi:10.2307/1993830
[6] P. Conrad: The relationship between the radical of a lattice-ordered group and complete distributivity. Pacific J. Math. 14 (1964), 493-499 · Zbl 0122.03701 · doi:10.2140/pjm.1964.14.493
[7] L. Fuchs: Partially ordered algebraic systems. Pergamon Press (1963). · Zbl 0137.02001
[8] H. Hahn: Über die nichtarchimedischen Grössensysteme. Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Vienna, 116 (1907), 601 - 653. · JFM 38.0501.01
[9] C. Holland: Extensions of ordered groups and sequence completion. Trans. Amer. Math. Soc. 107 (1963), 71-82. · Zbl 0117.26903 · doi:10.2307/1993868
[10] C. Holland: The lattice-ordered group of automorphisms of an ordered set. Michigan Math. J. 10 (1963), 399-408. · Zbl 0116.02102 · doi:10.1307/mmj/1028998976
[11] A. Lavis: Sur les quotients totalement ordonnés d’un groupe linéairement ordonné. Bull. Soc. Royal Sciences Liège, 32 (1963), 204-208. · Zbl 0122.27902
[12] K. Lorenz: Über Strukturverbände von Verbandsgruppen. Acta Math. Acad. Sci. Hungaricae, 75 (1962), 55-67. · Zbl 0109.25502 · doi:10.1007/BF02033625
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