Relations between some dimensions of semimodular lattices
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 73-77
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The aim of this paper is to present relations between Goldie, hollow and Kurosh-Ore dimensions of semimodular lattices. Relations between Goldie and Kurosh-Ore dimensions of modular lattices were studied by Grzeszczuk, Okiński and Puczyłowski.
Classification :
06C10
Keywords: semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension
Keywords: semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension
@article{CMJ_2004__54_1_a5,
author = {Walendziak, Andrzej},
title = {Relations between some dimensions of semimodular lattices},
journal = {Czechoslovak Mathematical Journal},
pages = {73--77},
publisher = {mathdoc},
volume = {54},
number = {1},
year = {2004},
mrnumber = {2040220},
zbl = {1049.06005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a5/}
}
Walendziak, Andrzej. Relations between some dimensions of semimodular lattices. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 1, pp. 73-77. http://geodesic.mathdoc.fr/item/CMJ_2004__54_1_a5/