| Title:
|
Graph automorphisms of semimodular lattices (English) |
| Author:
|
Jakubík, Ján |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
459-464 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper deals with the relations between graph automorphisms and direct factors of a semimodular lattice of locally finite length. (English) |
| Keyword:
|
semimodular lattice |
| Keyword:
|
graph automorphism |
| Keyword:
|
direct factor |
| MSC:
|
05C25 |
| MSC:
|
06C10 |
| idZBL:
|
Zbl 0966.06008 |
| idMR:
|
MR1802294 |
| DOI:
|
10.21136/MB.2000.126276 |
| . |
| Date available:
|
2009-09-24T21:45:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126276 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.Third Edition, Providence, 1967. Zbl 0153.02501, MR 0227053 |
| Reference:
|
[2] J. Jakubík: On graph isomorphism of lattices.Czechoslovak Math. J. 4 (1954), 131-141. (In Russian.) MR 0065530 |
| Reference:
|
[3] J. Jakubík: On graph isomorphisms of semimodular lattices.Matem. fyz. časopis 4 (1954), 162-177. (In Slovak.) MR 0069139 |
| Reference:
|
[4] J. Jakubík: Graph isomorphisms of semimodular lattices.Math. Slovaca 35 (1985), 229-232. MR 0808356 |
| Reference:
|
[5] J. Jakubík: Graph automorphisms of a finite modular lattice.Czechoslovak Math. J. 49 (1999), 443-447. MR 1692500, 10.1023/A:1022425007638 |
| Reference:
|
[6] J. Jakubík M. Csontóová: Convex isomorphisms of directed multilattices.Math. Bohem. 118 (1993), 359-379. MR 1251882 |
| Reference:
|
[7] C. Ratanaprasert B. A. Davey: Semimodular lattices with isomorphic graphs.Order 4 (1987), 1-13. MR 0908432 |
| . |
