On the lexicographic product of ordered sets

Vítězslav Novák

Czechoslovak Mathematical Journal (1965)

  • Volume: 15, Issue: 2, page 270-282
  • ISSN: 0011-4642

How to cite

top

Novák, Vítězslav. "On the lexicographic product of ordered sets." Czechoslovak Mathematical Journal 15.2 (1965): 270-282. <http://eudml.org/doc/12264>.

@article{Novák1965,
author = {Novák, Vítězslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordered sets, lattices},
language = {eng},
number = {2},
pages = {270-282},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the lexicographic product of ordered sets},
url = {http://eudml.org/doc/12264},
volume = {15},
year = {1965},
}

TY - JOUR
AU - Novák, Vítězslav
TI - On the lexicographic product of ordered sets
JO - Czechoslovak Mathematical Journal
PY - 1965
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 2
SP - 270
EP - 282
LA - eng
KW - ordered sets, lattices
UR - http://eudml.org/doc/12264
ER -

References

top
  1. G. Birkhoff, Lattice Theory, New York 1948. (1948) Zbl0033.10103MR0029876
  2. G. Birkhoff, 10.1215/S0012-7094-42-00921-9, Duke Math. Journ. 9 (1942), 283-302. (1942) Zbl0060.12609MR0007031DOI10.1215/S0012-7094-42-00921-9
  3. M. M. Day, 10.1090/S0002-9947-1945-0012262-4, Trans. Amer. Math. Soc. 58 (1945), 1-43. (1945) Zbl0060.05813MR0012262DOI10.1090/S0002-9947-1945-0012262-4
  4. B. Dushnik E. W. Miller, 10.2307/2371374, Am. Journ. Math. 63 (1941), 600-610. (1941) MR0004862DOI10.2307/2371374
  5. T. Hiraguchi, On the dimension of partially ordered sets, Sci. Rep. of the Kanzawa Univ. 1 (1951), 77-94. (1951) Zbl0200.00013MR0070681
  6. T. Hiraguchi, A note on a Mr. Komm's Theorems, Sci. Rep. of the Kanazawa Univ. 2 (1953), 1-3. (1953) MR0076741
  7. H. Komm, 10.2307/2372194, Am. Journ. Math. 70 (1948), 507-520. (1948) Zbl0037.31903MR0025541DOI10.2307/2372194
  8. J. Łoś G. Ryll-Nardzewski, 10.4064/fm-38-1-233-237, Fund. Math. 38 (1951), 233-237. (1951) MR0048795DOI10.4064/fm-38-1-233-237
  9. V. Novák, О dimensi lexikografického součtu částečně uspořádaných množin, Čas. pěst. mat. 86 (1961), 385-391. (1961) 
  10. V. Novák, On the pseudodimension of ordered sets, Czech. Math. Journ. 13 (1963), 587 to 598. (1963) MR0180507
  11. M. Novotný, Über isotone Funktionale geordneter Mengen, Zeitschr. f. math. Logik und Grundlagen d. Math. 5 (1959), 9-28. (1959) MR0105375
  12. V. Sedmak, Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima, Glasnik mat.-fiz. i astr. 7 (1952), 169-182. (1952) MR0053495
  13. E. Szpilrajn-Marczewski, 10.4064/fm-16-1-386-389, Fund. Math. 16 (1930), 386-389. (1930) DOI10.4064/fm-16-1-386-389

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.