Title:
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On the well dimension of ordered sets (English) |
Author:
|
Novák, Vítězslav |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
|
19 |
Issue:
|
1 |
Year:
|
1969 |
Pages:
|
1-16 |
Summary lang:
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English |
. |
Category:
|
math |
. |
MSC:
|
06.20 |
idZBL:
|
Zbl 0175.01203 |
idMR:
|
MR0241325 |
DOI:
|
10.21136/CMJ.1969.100871 |
. |
Date available:
|
2008-06-09T13:39:52Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100871 |
. |
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 Kanazawa 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] V. Novák: О dimensi lexikografického součtu částecně uspořádaných množin.Čas. pěst. mat. 86 (1961), 385-391. |
Reference:
|
[9] V. Novák: On the Pseudodimension of Ordered Sets.Czech. Math. Journ. 13 (1963), 587-598, MR 0180507 |
Reference:
|
[10] V. Novák: On the $\omega_v$-dimension and $\omega_v$-pseudodimension of ordered sets.Ztschr. f. math. Logik und Grundlagen d. Math. 10 (1964), 43-48. MR 0180508, 10.1002/malq.19640100204 |
Reference:
|
[11] E. Szpilrajn: Sur l'extension de l'ordre partiel.Fund. Math. 16 (1930), 386-389. 10.4064/fm-16-1-386-389 |
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