@article{10_21136_CMJ_1965_100669,
author = {Nov\'ak, V{\'\i}t\v{e}zslav},
title = {On the lexicographic product of ordered sets},
journal = {Czechoslovak Mathematical Journal},
pages = {270--282},
year = {1965},
volume = {15},
number = {2},
doi = {10.21136/CMJ.1965.100669},
mrnumber = {0175817},
zbl = {0134.02102},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1965.100669/}
}
TY - JOUR AU - Novák, Vítězslav TI - On the lexicographic product of ordered sets JO - Czechoslovak Mathematical Journal PY - 1965 SP - 270 EP - 282 VL - 15 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1965.100669/ DO - 10.21136/CMJ.1965.100669 LA - en ID - 10_21136_CMJ_1965_100669 ER -
Novák, Vítězslav. On the lexicographic product of ordered sets. Czechoslovak Mathematical Journal, Tome 15 (1965) no. 2, pp. 270-282. doi: 10.21136/CMJ.1965.100669
[1] G. Birkhoff: Lattice Theory. New York 1948. | MR | Zbl
[2] G. Birkhoff: Generalized arithmetic. Duke Math. Journ. 9 (1942), 283-302. | DOI | MR | Zbl
[3] M. M. Day: Arithmetic of Ordered Systems. Trans. Amer. Math. Soc. 58 (1945), 1-43. | DOI | MR | Zbl
[4] B. Dushnik E. W. Miller: Partially ordered sets. Am. Journ. Math. 63 (1941), 600-610. | DOI | MR
[5] T. Hiraguchi: On the dimension of partially ordered sets. Sci. Rep. of the Kanzawa Univ. 1 (1951), 77-94. | MR | Zbl
[6] T. Hiraguchi: A note on a Mr. Komm's Theorems. Sci. Rep. of the Kanazawa Univ. 2 (1953), 1-3. | MR
[7] H. Komm: On the dimension of partially ordered sets. Am. Journ. Math. 70 (1948), 507-520. | DOI | MR | Zbl
[8] J. Łoś G. Ryll-Nardzewski: On the application of Tychonoff's theorem in mathematical proofs. Fund. Math. 38 (1951), 233-237. | DOI | MR
[9] V. Novák: О dimensi lexikografického součtu částečně uspořádaných množin. Čas. pěst. mat. 86 (1961), 385-391.
[10] V. Novák: On the pseudodimension of ordered sets. Czech. Math. Journ. 13 (1963), 587 to 598. | MR
[11] M. Novotný: Über isotone Funktionale geordneter Mengen. Zeitschr. f. math. Logik und Grundlagen d. Math. 5 (1959), 9-28. | MR
[12] V. Sedmak: Dimenzija djelomično uredenih skupova pridruženih poligonima i poliedrima. Glasnik mat.-fiz. i astr. 7 (1952), 169-182. | MR
[13] E. Szpilrajn-Marczewski: Sur l'extension de l'ordre partiel. Fund. Math. 16 (1930), 386-389. | DOI
Cité par Sources :