| Title:
|
On a characterization of the lattice of $\frak m$-ideals of an ordered set (English) |
| Author:
|
Rosický, Jiří |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
8 |
| Issue:
|
3 |
| Year:
|
1972 |
| Pages:
|
137-142 |
| . |
| Category:
|
math |
| . |
| MSC:
|
06A06 |
| MSC:
|
06A15 |
| MSC:
|
06B23 |
| idZBL:
|
Zbl 0282.06004 |
| idMR:
|
MR0335375 |
| . |
| Date available:
|
2008-06-05T19:53:14Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104769 |
| . |
| Reference:
|
[1] Birkhoff G.: Lattice theory.Third (New) Edition 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] Birkhoff G., Frink O.: Representations of lattices by sets.Trans. Amer. Math. Soc. 64 (1948), 299-315. Zbl 0032.00504, MR 0027263 |
| Reference:
|
[3] Frink O.: Ideals in partially ordered sets.Amer. Math. Monthly, 61 (1954), 223-233. Zbl 0055.25901, MR 0061575 |
| Reference:
|
[4] Mayer-Kalkschmidt J., Steiner E.: Some theorems in set theory and applications in the ideal theory of partially ordered sets.Duke Math. Jour., 31 (1964), 287-290. Zbl 0151.01302, MR 0160729 |
| Reference:
|
[5] Nachbin L.: On a characterization of the lattice of all ideals of a Boolean ring.Fund. Math., 36 (1949), 137-142. Zbl 0039.25901, MR 0035278 |
| Reference:
|
[6] Mayer J., Novotný M.: On some topologies on products of ordered sets.Arch. Math. (Brno), 1 (1965), 251-257. MR 0195071 |
| Reference:
|
[7] Novotný M.: Über gewisse Probleme der Kardinalarithmetik.Publ. Fac. Sci. Univ. Brno, 457 (1964), 478-481. |
| . |
