The lattice of all convex l -subgroups of a lattice-ordered group

Paul F. Conrad

Czechoslovak Mathematical Journal (1965)

  • Volume: 15, Issue: 1, page 101-123
  • ISSN: 0011-4642

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Conrad, Paul F.. "The lattice of all convex $l$-subgroups of a lattice-ordered group." Czechoslovak Mathematical Journal 15.1 (1965): 101-123. <http://eudml.org/doc/12252>.

@article{Conrad1965,
author = {Conrad, Paul F.},
journal = {Czechoslovak Mathematical Journal},
keywords = {group theory},
language = {eng},
number = {1},
pages = {101-123},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The lattice of all convex $l$-subgroups of a lattice-ordered group},
url = {http://eudml.org/doc/12252},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Conrad, Paul F.
TI - The lattice of all convex $l$-subgroups of a lattice-ordered group
JO - Czechoslovak Mathematical Journal
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 1
SP - 101
EP - 123
LA - eng
KW - group theory
UR - http://eudml.org/doc/12252
ER -

References

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  1. K. Aubert, 10.1007/BF02545781, Acta Math. 107 (1962), 1-52. (1962) Zbl0108.26002MR0148773DOI10.1007/BF02545781
  2. G. Birkhoff, Lattice theory, Rev. Ed. (1949), Amer. Math. Soc. Colloquium Pub. 25. (1949) 
  3. P. Conrad, 10.2307/2372611, Amer. J. Math. 75 (1953), 1-29. (1953) Zbl0050.02303MR0053933DOI10.2307/2372611
  4. P. Conrad, 10.1090/S0002-9947-1961-0121405-2, Trans. Amer. Math. Soc. 99 (1961), 212-240. (1961) Zbl0099.25401MR0121405DOI10.1090/S0002-9947-1961-0121405-2
  5. P. Conrad J. Harvey С. Holland, 10.1090/S0002-9947-1963-0151534-0, Trans. Amer. Math. Soc. 108 (1963), 143-169. (1963) MR0151534DOI10.1090/S0002-9947-1963-0151534-0
  6. P. Conrad, 10.2140/pjm.1964.14.493, Pacific J. Math. 14 (1964), 493-499 (1964) Zbl0122.03701MR0166279DOI10.2140/pjm.1964.14.493
  7. L. Fuchs, Partially ordered algebraic systems, Pergamon Press (1963). (1963) Zbl0137.02001MR0171864
  8. H. Hahn, Über die nichtarchimedischen Grössensysteme, Sitzungsberichte der Kaiserlichen Akademie der Wissenschaften, Vienna, 116 (1907), 601 - 653. (1907) 
  9. С. Holland, 10.1090/S0002-9947-1963-0146273-6, Trans. Amer. Math. Soc. 107 (1963), 71-82. (1963) Zbl0117.26903MR0146273DOI10.1090/S0002-9947-1963-0146273-6
  10. С. Holland, 10.1307/mmj/1028998976, Michigan Math. J. 10 (1963), 399-408. (1963) MR0158009DOI10.1307/mmj/1028998976
  11. A. Lavis, Sur les quotients totalement ordonnés d'un groupe linéairement ordonné, Bull. Soc. Royal Sciences Liège, 32 (1963), 204-208. (1963) Zbl0122.27902MR0147565
  12. K. Lorenz, 10.1007/BF02033625, Acta Math. Acad. Sci. Hungaricae, 75 (1962), 55-67. (1962) Zbl0109.25502MR0139547DOI10.1007/BF02033625

Citations in EuDML Documents

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  1. Fritz Saaby Pedersen, Spitz in l -groups
  2. K. Neumann, Über darstellungen von Verbänden mit o -Idealen gerichteter Gruppen
  3. Stuart A. Steinberg, Finitely valued f -modules, an addendum
  4. Milan Jasem, Pairs of partially ordered groups with the same convex subgroups
  5. H. Subramanian, l -prime ideals in f -rings
  6. Richard D. Byrd, M -polars in lattice-ordered groups
  7. Paul F. Conrad, Subdirect sums of integers and reals
  8. Jorge Martinez, Almost finite-valued l -groups
  9. Paul F. Conrad, Lex-subgroups of lattice-ordered groups
  10. Ján Jakubík, Distributivity in lattice ordered groups

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