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

top

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

top
  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

top
  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. Bohumil Šmarda, Polarity compatible with a closure system
  6. Robert H. Redfield, Generalized intervals and topology
  7. Bohumil Šmarda, Polars on closure spaces
  8. Ján Jakubík, On orthogonally σ -complete lattice ordered groups

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.