On sums of simply ordered groups

František Šik

Czechoslovak Mathematical Journal (1958)

  • Volume: 08, Issue: 1, page 22-53
  • ISSN: 0011-4642

How to cite

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Šik, František. "Über Summen einfach geordneter Gruppen." Czechoslovak Mathematical Journal 08.1 (1958): 22-53. <http://eudml.org/doc/11906>.

@article{Šik1958,
author = {Šik, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {lattice ordered group},
language = {ger},
number = {1},
pages = {22-53},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Über Summen einfach geordneter Gruppen},
url = {http://eudml.org/doc/11906},
volume = {08},
year = {1958},
}

TY - JOUR
AU - Šik, František
TI - Über Summen einfach geordneter Gruppen
JO - Czechoslovak Mathematical Journal
PY - 1958
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 08
IS - 1
SP - 22
EP - 53
LA - ger
KW - lattice ordered group
UR - http://eudml.org/doc/11906
ER -

References

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  1. G. Birkhoff, 10.2307/1968871, Annals of Math. 43 (1942), 298-331. (1942) Zbl0060.05808MR0006550DOI10.2307/1968871
  2. G. Birkhoff, Lattice Theory, rev. ed., New York, 1948. (1948) Zbl0033.10103MR0029876
  3. G. Birkhoff, 10.1090/S0002-9904-1944-08235-9, Bull. Am. Math. Soc. 50 (1944), 764-768. (1944) Zbl0060.05809MR0010542DOI10.1090/S0002-9904-1944-08235-9
  4. A. H. Clifford, 10.2307/1968728, Annals Math. 41 (1940), 465 - 475. (1940) Zbl0025.00801MR0002134DOI10.2307/1968728
  5. K. Iwasawa, 10.4099/jjm1924.18.0_777, Jap. J. Math. 18 (1943), 777-789. (1943) Zbl0061.03408MR0015117DOI10.4099/jjm1924.18.0_777
  6. Л. В. Канторович В. 3. Вулих, А. Г. Пипскер, Функциональный анализ в полуупорядоченных пространствах, ГТТИ, Москва, 1950. (1950) Zbl1202.91122
  7. Л. В. Канторович В. 3. Вулих, А. Г. Пинскер, Полуупорядоченные группы и линейные полуупорядоченные пространства, Успехи мат. наук VI, 3 (1951), 31-98. (1951) Zbl1200.93002
  8. Р. Lorenzen, 10.1007/BF01580299, Math. Zeitschr. 45 (1939), 523-553. (1939) Zbl0021.38703DOI10.1007/BF01580299
  9. Ф. Шик, К теории структурно упорядоченных групп, Чехосл. мат. журнал 6 (81), (1956), 1-25. (1956) Zbl0995.90522
  10. Е. П. Шимбирева, К теории частично упорядоченных групп, Мат. сборник 20 (1947), 145-178. (1947) Zbl1153.11318MR0020558

Citations in EuDML Documents

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  1. František Šik, Über subdirekte Summen geordneter Gruppen
  2. Ján Jakubík, Higher degrees of distributivity in lattices and lattice-ordered groups
  3. František Šik, Closed and open sets in topologies induced by lattice ordered vector groups
  4. Ján Jakubík, Об одном свойстве структурно упорядоченных групп
  5. František Šik, Verbandsgruppen, deren Komponentenverband kompakt erzeugt ist
  6. Ján Jakubík, Normal prime filters of a lattice ordered group
  7. Ján Jakubík, Bohumil Šmarda, Seventy years of Professor František Šik

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