| Title:
|
Graph automorphisms of multilattices (English) |
| Author:
|
Csontóová, Mária |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
128 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
209-213 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we generalize a result of a theorem of J. Jakubík concerning graph automorphisms of lattices to the case of multilattices of locally finite length. (English) |
| Keyword:
|
multilattice |
| Keyword:
|
graph automorphism |
| Keyword:
|
direct factor |
| MSC:
|
06A06 |
| MSC:
|
06B05 |
| MSC:
|
06B99 |
| idZBL:
|
Zbl 1024.06002 |
| idMR:
|
MR1995574 |
| DOI:
|
10.21136/MB.2003.134035 |
| . |
| Date available:
|
2009-09-24T22:08:50Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134035 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] M. Benado: Les ensembles partiellement ordonnèes et le théorème de raffinement de Schreier, II. Théorie des multistructures.Czechoslovak Math. J. 5 (1955), 308–344. MR 0076744 |
| Reference:
|
[3] J. Jakubík: On isomorphisms of graphs of lattices.Czechoslovak Math. J. 35 (1985), 188–200. MR 0787124 |
| Reference:
|
[4] J. Jakubík: Graph automorphisms of a finite modular lattice.Czechoslovak Math. J. 49 (1999), 443–447. MR 1692500, 10.1023/A:1022425007638 |
| Reference:
|
[5] J. Jakubík: Graph automorphisms and cells of lattices.Czechoslovak Math. J. 53 (2003), 103–111. Zbl 1014.06007, MR 1962002, 10.1023/A:1022927609440 |
| Reference:
|
[6] J. Jakubík, M. Csontóová: Convex isomorphisms of directed multilattices.Math. Bohem. 118 (1993), 359–379. MR 1251882 |
| Reference:
|
[7] M. Tomková: Graph isomorphisms of modular multilattices.Math. Slovaca 30 (1980), 95–100. MR 0568218 |
| Reference:
|
[8] M. Tomková: Graph isomorphisms of partially ordered sets.Math. Slovaca 37 (1987), 47–52. MR 0899016 |
| Reference:
|
[9] C. Ratatonprasert, B. A. Davey: Semimodular lattices with isomorphic graphs.Order 4 (1987), 1–13. MR 0908432 |
| Reference:
|
[10] J. Jakubík: Graph automorphisms of semimodular lattices.Math. Bohem. 125 (2000), 459–464. MR 1802294 |
| Reference:
|
[11] M. Tomková: On multilattices with isomorphic graphs.Math. Slovaca 32 (1982), 63–73. MR 0648222 |
| Reference:
|
[12] J. Jakubík: On graph isomorphism of modular lattices.Czechoslovak Math. J. 4 (1954), 131–141. |
| . |
