| Title:
             | 
On projective intervals in a modular lattice (English) | 
| Author:
             | 
Jakubík, Ján | 
| Language:
             | 
English | 
| Journal:
             | 
Mathematica Bohemica | 
| ISSN:
             | 
0862-7959 (print) | 
| ISSN:
             | 
2464-7136 (online) | 
| Volume:
             | 
117 | 
| Issue:
             | 
3 | 
| Year:
             | 
1992 | 
| Pages:
             | 
293-298 | 
| Summary lang:
             | 
English | 
| . | 
| Category:
             | 
math | 
| . | 
| Summary:
             | 
In this paper a combinatorial result concerning paire of projective intervals of a modular lattice will be established. (English) | 
| Keyword:
             | 
projective intervals | 
| Keyword:
             | 
modular lattice | 
| Keyword:
             | 
transposed intervals | 
| MSC:
             | 
06C05 | 
| idZBL:
             | 
Zbl 0773.06013 | 
| idMR:
             | 
MR1184542 | 
| DOI:
             | 
10.21136/MB.1992.126283 | 
| . | 
| Date available:
             | 
2009-09-24T20:53:48Z | 
| Last updated:
             | 
2020-07-29 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/126283 | 
| . | 
| Reference:
             | 
[1] G. Birkhoff: Lattice Theory.Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053 | 
| Reference:
             | 
[2] G. Behrendt: Multiposets and the convexity of posets.Ars combin. 23 (1987), 69-74. MR 0886940 | 
| Reference:
             | 
[3] B. Bollobás G. Brightwell J. Nešetřil: Random graphs and covering graphs of posets.Order 3 (1986), 245-255. MR 0878921, 10.1007/BF00400288 | 
| Reference:
             | 
[4] K. Engel N.N. Kuzjurin: About the ration of the size of a maximum antichain to the size of a maximum level in finite partially ordered sets.Combinatorica 5 (1985), 301-309. MR 0845139, 10.1007/BF02579244 | 
| . |