| Title:
|
On the lexicographic product of ordered sets (English) |
| Author:
|
Novák, Vítězslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1965 |
| Pages:
|
270-282 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
06.10 |
| idZBL:
|
Zbl 0134.02102 |
| idMR:
|
MR0175817 |
| DOI:
|
10.21136/CMJ.1965.100669 |
| . |
| Date available:
|
2008-06-09T13:25:25Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100669 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.New York 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] G. Birkhoff: Generalized arithmetic.Duke Math. Journ. 9 (1942), 283-302. Zbl 0060.12609, MR 0007031, 10.1215/S0012-7094-42-00921-9 |
| Reference:
|
[3] M. M. Day: Arithmetic of Ordered Systems.Trans. Amer. Math. Soc. 58 (1945), 1-43. Zbl 0060.05813, MR 0012262, 10.1090/S0002-9947-1945-0012262-4 |
| Reference:
|
[4] B. Dushnik E. W. Miller: Partially ordered sets.Am. Journ. Math. 63 (1941), 600-610. MR 0004862, 10.2307/2371374 |
| Reference:
|
[5] T. Hiraguchi: On the dimension of partially ordered sets.Sci. Rep. of the Kanzawa Univ. 1 (1951), 77-94. Zbl 0200.00013, MR 0070681 |
| Reference:
|
[6] T. Hiraguchi: A note on a Mr. Komm's Theorems.Sci. Rep. of the Kanazawa Univ. 2 (1953), 1-3. MR 0076741 |
| Reference:
|
[7] H. Komm: On the dimension of partially ordered sets.Am. Journ. Math. 70 (1948), 507-520. Zbl 0037.31903, MR 0025541, 10.2307/2372194 |
| Reference:
|
[8] J. Łoś G. Ryll-Nardzewski: On the application of Tychonoff's theorem in mathematical proofs.Fund. Math. 38 (1951), 233-237. MR 0048795, 10.4064/fm-38-1-233-237 |
| Reference:
|
[9] V. Novák: О dimensi lexikografického součtu částečně uspořádaných množin.Čas. pěst. mat. 86 (1961), 385-391. |
| Reference:
|
[10] V. Novák: On the pseudodimension of ordered sets.Czech. Math. Journ. 13 (1963), 587 to 598. MR 0180507 |
| Reference:
|
[11] M. Novotný: Über isotone Funktionale geordneter Mengen.Zeitschr. f. math. Logik und Grundlagen d. Math. 5 (1959), 9-28. MR 0105375 |
| Reference:
|
[12] V. Sedmak: Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima.Glasnik mat.-fiz. i astr. 7 (1952), 169-182. MR 0053495 |
| Reference:
|
[13] E. Szpilrajn-Marczewski: Sur l'extension de l'ordre partiel.Fund. Math. 16 (1930), 386-389. 10.4064/fm-16-1-386-389 |
| . |
