Geodesic
Graph automorphisms of multilattices
Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 209-213
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/MB.2003.134035
Classification : 06A06, 06B05, 06B99
Keywords: multilattice; graph automorphism; direct factor 
@article{10_21136_MB_2003_134035,
     author = {Csont\'oov\'a, M\'aria},
     title = {Graph automorphisms of multilattices},
     journal = {Mathematica Bohemica},
     pages = {209--213},
     year = {2003},
     volume = {128},
     number = {2},
     doi = {10.21136/MB.2003.134035},
     mrnumber = {1995574},
     zbl = {1024.06002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134035/}
}
TY  - JOUR
AU  - Csontóová, Mária
TI  - Graph automorphisms of multilattices
JO  - Mathematica Bohemica
PY  - 2003
SP  - 209
EP  - 213
VL  - 128
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134035/
DO  - 10.21136/MB.2003.134035
LA  - en
ID  - 10_21136_MB_2003_134035
ER  - 
%0 Journal Article
%A Csontóová, Mária
%T Graph automorphisms of multilattices
%J Mathematica Bohemica
%D 2003
%P 209-213
%V 128
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2003.134035/
%R 10.21136/MB.2003.134035
%G en
%F 10_21136_MB_2003_134035
Csontóová, Mária. Graph automorphisms of multilattices. Mathematica Bohemica, Tome 128 (2003) no. 2, pp. 209-213. doi: 10.21136/MB.2003.134035

[1] G. Birkhoff: Lattice Theory. Third Edition, Providence, 1967. | MR | Zbl

[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

[3] J. Jakubík: On isomorphisms of graphs of lattices. Czechoslovak Math. J. 35 (1985), 188–200. | MR

[4] J. Jakubík: Graph automorphisms of a finite modular lattice. Czechoslovak Math. J. 49 (1999), 443–447. | DOI | MR

[5] J. Jakubík: Graph automorphisms and cells of lattices. Czechoslovak Math. J. 53 (2003), 103–111. | DOI | MR | Zbl

[6] J. Jakubík, M. Csontóová: Convex isomorphisms of directed multilattices. Math. Bohem. 118 (1993), 359–379. | MR

[7] M. Tomková: Graph isomorphisms of modular multilattices. Math. Slovaca 30 (1980), 95–100. | MR

[8] M. Tomková: Graph isomorphisms of partially ordered sets. Math. Slovaca 37 (1987), 47–52. | MR

[9] C. Ratatonprasert, B. A. Davey: Semimodular lattices with isomorphic graphs. Order 4 (1987), 1–13. | MR

[10] J. Jakubík: Graph automorphisms of semimodular lattices. Math. Bohem. 125 (2000), 459–464. | MR

[11] M. Tomková: On multilattices with isomorphic graphs. Math. Slovaca 32 (1982), 63–73. | MR

[12] J. Jakubík: On graph isomorphism of modular lattices. Czechoslovak Math. J. 4 (1954), 131–141.

Cité par Sources :