Graph automorphisms of semimodular lattices

Ján Jakubík

Mathematica Bohemica (2000)

  • Volume: 125, Issue: 4, page 459-464
  • ISSN: 0862-7959

Abstract

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

How to cite

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Jakubík, Ján. "Graph automorphisms of semimodular lattices." Mathematica Bohemica 125.4 (2000): 459-464. <http://eudml.org/doc/248667>.

@article{Jakubík2000,
abstract = {This paper deals with the relations between graph automorphisms and direct factors of a semimodular lattice of locally finite length.},
author = {Jakubík, Ján},
journal = {Mathematica Bohemica},
keywords = {semimodular lattice; graph automorphism; direct factor; semimodular lattice; graph automorphism; direct factor},
language = {eng},
number = {4},
pages = {459-464},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Graph automorphisms of semimodular lattices},
url = {http://eudml.org/doc/248667},
volume = {125},
year = {2000},
}

TY - JOUR
AU - Jakubík, Ján
TI - Graph automorphisms of semimodular lattices
JO - Mathematica Bohemica
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 125
IS - 4
SP - 459
EP - 464
AB - This paper deals with the relations between graph automorphisms and direct factors of a semimodular lattice of locally finite length.
LA - eng
KW - semimodular lattice; graph automorphism; direct factor; semimodular lattice; graph automorphism; direct factor
UR - http://eudml.org/doc/248667
ER -

References

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  1. G. Birkhoff, Lattice Theory, Third Edition, Providence, 1967. (1967) Zbl0153.02501MR0227053
  2. J. Jakubík, On graph isomorphism of lattices, Czechoslovak Math. J. 4 (1954), 131-141. (In Russian.) (1954) MR0065530
  3. J. Jakubík, On graph isomorphisms of semimodular lattices, Matem. fyz. časopis 4 (1954), 162-177. (In Slovak.) (1954) MR0069139
  4. J. Jakubík, Graph isomorphisms of semimodular lattices, Math. Slovaca 35 (1985), 229-232. (1985) MR0808356
  5. J. Jakubík, 10.1023/A:1022425007638, Czechoslovak Math. J. 49 (1999), 443-447. (1999) MR1692500DOI10.1023/A:1022425007638
  6. J. Jakubík M. Csontóová, Convex isomorphisms of directed multilattices, Math. Bohem. 118 (1993), 359-379. (1993) MR1251882
  7. C. Ratanaprasert B. A. Davey, Semimodular lattices with isomorphic graphs, Order 4 (1987), 1-13. (1987) MR0908432

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