On the theory of simple-ordered groups

František Šik

Czechoslovak Mathematical Journal (1956)

  • Volume: 06, Issue: 1, page 1-25
  • ISSN: 0011-4642

How to cite

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Šik, František. "К теории структурно упорядоченных групп." Czechoslovak Mathematical Journal 06.1 (1956): 1-25. <http://eudml.org/doc/11816>.

@article{Šik1956,
author = {Šik, František},
journal = {Czechoslovak Mathematical Journal},
keywords = {disjoint elements; direct sum of simple ordered groups},
language = {rus},
number = {1},
pages = {1-25},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {К теории структурно упорядоченных групп},
url = {http://eudml.org/doc/11816},
volume = {06},
year = {1956},
}

TY - JOUR
AU - Šik, František
TI - К теории структурно упорядоченных групп
JO - Czechoslovak Mathematical Journal
PY - 1956
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 06
IS - 1
SP - 1
EP - 25
LA - rus
KW - disjoint elements; direct sum of simple ordered groups
UR - http://eudml.org/doc/11816
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, New York, revised ed., 1948. (1948) Zbl0033.10103MR0123490
  3. С. J. Everett, S. Ulam, 10.1090/S0002-9947-1945-0012285-5, Transactions Am. Math. Soc. 57 (1945), 208-216. (1945) Zbl0061.03406MR0012285DOI10.1090/S0002-9947-1945-0012285-5
  4. Kenkichi Iwasawa, 10.4099/jjm1924.18.0_777, Jap. Journal of Math. 18 (1943), 777-789. (1943) MR0015117DOI10.4099/jjm1924.18.0_777
  5. Л. B. Канторович Б. 3. Byлих A. Г. Пинскер, Функциональный aнализ в полуупорядоченных пространствах, ГТТИ, Москва (1950). (1950) 
  6. Л. В. Канторович Б. 3. Булих А. Г. Пинскер, Полуупорядоченные группы и линейные полуупорядоченные пространства, Успехи мат. наук, VI, 3 (43), 1951, стр. 31-98. (1951) Zbl1200.93002MR0044045
  7. F. Riesz, 10.2307/1968825, Annals of Math. 41 (1940), 174-206. (1940) Zbl0022.31802MR0000902DOI10.2307/1968825
  8. F. Šik, Über Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe, Чехословацкий математический журнал, Т 5 (80), 1955, 61-75. (1955) MR0073594
  9. Е. П. Шимбирева, К теории частично упорядоченных групп, Математ. сборник, 20 (1947), 145-178. (1947) Zbl1153.11318MR0020558
  10. М. И. Граев, К Теории полных прямых произведений групп, Математ. сборник, 17 (59), 1945, стр. 85-104. (1945) Zbl0119.10101MR0015115
  11. А. Г. Курош, Теория групп, изд. 2., ГТТИ, Москва, 1953. (1953) Zbl1151.94459
  12. А. H. Clifford, 10.2307/1968728, Annals of Math. 41 (1940), 465-473. (1940) Zbl0025.00801MR0002134DOI10.2307/1968728

Citations in EuDML Documents

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  1. A. Bigard, K. Keimel, Sur les endomorphismes conservant les polaires d'un groupe réticulé archimédien
  2. Richard D. Byrd, M -polars in lattice-ordered groups
  3. Ján Jakubík, On complete M V -algebras
  4. Paul F. Conrad, Lex-subgroups of lattice-ordered groups
  5. Ján Jakubík, On orthogonally σ -complete lattice ordered groups
  6. Bohumil Šmarda, Polarity compatible with a closure system
  7. Robert H. Redfield, Generalized intervals and topology
  8. Bohumil Šmarda, Polars on closure spaces

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