The lattice of all convex $l$-subgroups of a lattice-ordered group
Conrad, Paul F.
Czechoslovak Mathematical Journal, Tome 15 (1965), p. 101-123 / Harvested from Czech Digital Mathematics Library
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Publié le : 1965-01-01
Classification:  06.75,  20.00 
@article{100656,
     author = {Paul F. Conrad},
     title = {The lattice of all convex $l$-subgroups of a lattice-ordered group},
     journal = {Czechoslovak Mathematical Journal},
     volume = {15},
     year = {1965},
     pages = {101-123},
     zbl = {0135.06301},
     mrnumber = {0173716},
     language = {en},
     url = {http://dml.mathdoc.fr/item/100656}
}

Conrad, Paul F. The lattice of all convex $l$-subgroups of a lattice-ordered group. Czechoslovak Mathematical Journal, Tome 15 (1965) pp. 101-123. http://gdmltest.u-ga.fr/item/100656/

K. Aubert Theory of x-ideals, Acta Math. 107 (1962), 1-52. (1962) | Article | MR 0148773 | Zbl 0108.26002

G. Birkhoff Lattice theory, Rev. Ed. (1949), Amer. Math. Soc. Colloquium Pub. 25. (1949)

P. Conrad Embedding theorems for abelian groups with valuations, Amer. J. Math. 75 (1953), 1-29. (1953) | Article | MR 0053933 | Zbl 0050.02303

P. Conrad Some structure theorems for lattice-ordered groups, Trans. Amer. Math. Soc. 99 (1961), 212-240. (1961) | Article | MR 0121405 | Zbl 0099.25401

P. Conrad J. Harvey С. Holland The Hahn embedding theorem for abelian lattice-ordered groups, Trans. Amer. Math. Soc. 108 (1963), 143-169. (1963) | Article | MR 0151534

P. Conrad The relationship between the radical of a lattice-ordered group and complete distributivity, Pacific J. Math. 14 (1964), 493-499 (1964) | Article | MR 0166279 | Zbl 0122.03701

L. Fuchs Partially ordered algebraic systems, Pergamon Press (1963). (1963) | MR 0171864 | Zbl 0137.02001

H. Hahn Über die nichtarchimedischen Grössensysteme, Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Vienna, 116 (1907), 601 - 653. (1907)

С. Holland Extensions of ordered groups and sequence completion, Trans. Amer. Math. Soc. 107 (1963), 71-82. (1963) | Article | MR 0146273 | Zbl 0117.26903

С. Holland The lattice-ordered group of automorphisms of an ordered set, Michigan Math. J. 10 (1963), 399-408. (1963) | Article | MR 0158009

A. Lavis Sur les quotients totalement ordonnés d'un groupe linéairement ordonné, Bull. Soc. Royal Sciences Liège, 32 (1963), 204-208. (1963) | MR 0147565 | Zbl 0122.27902

K. Lorenz Über Strukturverbände von Verbandsgruppen, Acta Math. Acad. Sci. Hungaricae, 75 (1962), 55-67. (1962) | Article | MR 0139547 | Zbl 0109.25502