Graph automorphisms of semimodular lattices

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Graph automorphisms of semimodular lattices. (English). Mathematica Bohemica, vol. 125 (2000), issue 4, pp. 459-464

MSC: 05C25, 06C10 | MR 1802294 | Zbl 0966.06008 | DOI: 10.21136/MB.2000.126276

Keywords:
semimodular lattice; graph automorphism; direct factor

Summary:
This paper deals with the relations between graph automorphisms and direct factors of a semimodular lattice of locally finite length.

References:

[1] G. Birkhoff: Lattice Theory. Third Edition, Providence, 1967. MR 0227053 | Zbl 0153.02501

[2] J. Jakubík: On graph isomorphism of lattices. Czechoslovak Math. J. 4 (1954), 131-141. (In Russian.) MR 0065530

[3] J. Jakubík: On graph isomorphisms of semimodular lattices. Matem. fyz. časopis 4 (1954), 162-177. (In Slovak.) MR 0069139

[4] J. Jakubík: Graph isomorphisms of semimodular lattices. Math. Slovaca 35 (1985), 229-232. MR 0808356

[5] J. Jakubík: Graph automorphisms of a finite modular lattice. Czechoslovak Math. J. 49 (1999), 443-447. DOI 10.1023/A:1022425007638 | MR 1692500

[6] J. Jakubík M. Csontóová: Convex isomorphisms of directed multilattices. Math. Bohem. 118 (1993), 359-379. MR 1251882

[7] C. Ratanaprasert B. A. Davey: Semimodular lattices with isomorphic graphs. Order 4 (1987), 1-13. MR 0908432

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