Congruence Lattices of Finite Semimodular Lattices
Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 290-297
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We prove that every finite distributive lattice can be represented as the congruence lattice of a finite (planar) semimodular lattice.
Mots-clés :
06B10, 08A05, Congruence lattice, semimodular, planar, finite
Grätzer, G.; Lakser, H.; Schmidt, E. T. Congruence Lattices of Finite Semimodular Lattices. Canadian mathematical bulletin, Tome 41 (1998) no. 3, pp. 290-297. doi: 10.4153/CMB-1998-041-7
@article{10_4153_CMB_1998_041_7,
author = {Gr\"atzer, G. and Lakser, H. and Schmidt, E. T.},
title = {Congruence {Lattices} of {Finite} {Semimodular} {Lattices}},
journal = {Canadian mathematical bulletin},
pages = {290--297},
year = {1998},
volume = {41},
number = {3},
doi = {10.4153/CMB-1998-041-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-041-7/}
}
TY - JOUR AU - Grätzer, G. AU - Lakser, H. AU - Schmidt, E. T. TI - Congruence Lattices of Finite Semimodular Lattices JO - Canadian mathematical bulletin PY - 1998 SP - 290 EP - 297 VL - 41 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1998-041-7/ DO - 10.4153/CMB-1998-041-7 ID - 10_4153_CMB_1998_041_7 ER -
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