Relations between some dimensions of semimodular lattices
Czechoslovak Mathematical Journal (2004)
- Volume: 54, Issue: 1, page 73-77
- ISSN: 0011-4642
Access Full Article
top
Abstract
topHow to cite
topWalendziak, Andrzej. "Relations between some dimensions of semimodular lattices." Czechoslovak Mathematical Journal 54.1 (2004): 73-77. <http://eudml.org/doc/30838>.
@article{Walendziak2004,
abstract = {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.},
author = {Walendziak, Andrzej},
journal = {Czechoslovak Mathematical Journal},
keywords = {semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension; semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension},
language = {eng},
number = {1},
pages = {73-77},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relations between some dimensions of semimodular lattices},
url = {http://eudml.org/doc/30838},
volume = {54},
year = {2004},
}
TY - JOUR
AU - Walendziak, Andrzej
TI - Relations between some dimensions of semimodular lattices
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 73
EP - 77
AB - 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.
LA - eng
KW - semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension; semimodular lattice; Goldie dimension; hollow dimension; Kurosh-Ore dimension
UR - http://eudml.org/doc/30838
ER -
References
top- 10.1016/0022-4049(84)90075-6, J. Pure Appl. Algebra 31 (1984), 47–54. (1984) MR0738204DOI10.1016/0022-4049(84)90075-6
- 10.4153/CMB-1986-042-9, Canad. Math. Bull. 29 (1986), 274–280. (1986) MR0846704DOI10.4153/CMB-1986-042-9
- 10.1080/00927878908823816, Comm. Algebra 17 (1989), 1723–1737. (1989) MR1006522DOI10.1080/00927878908823816
- Semimodular Lattices: Theory and Applications, University Press, Cambridge, 1999. (1999) Zbl0957.06008MR1695504
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.