| Title:
|
Relations between some dimensions of semimodular lattices (English) |
| Author:
|
Walendziak, Andrzej |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
73-77 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
semimodular lattice |
| Keyword:
|
Goldie dimension |
| Keyword:
|
hollow dimension |
| Keyword:
|
Kurosh-Ore dimension |
| MSC:
|
06C10 |
| idZBL:
|
Zbl 1049.06005 |
| idMR:
|
MR2040220 |
| . |
| Date available:
|
2009-09-24T11:09:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127865 |
| . |
| Reference:
|
[1] P. Grzeszczuk and E. R. Puczyłowski: On Goldie and dual Goldie dimensions.J. Pure Appl. Algebra 31 (1984), 47–54. MR 0738204, 10.1016/0022-4049(84)90075-6 |
| Reference:
|
[2] P. Grzeszczuk and E. R. Puczyłowski: Goldie dimension and chain conditions for modular lattices with finite group actions.Canad. Math. Bull. 29 (1986), 274–280. MR 0846704, 10.4153/CMB-1986-042-9 |
| Reference:
|
[3] P. Grzeszczuk, J. Okiński and E. R. Puczyłowski: Relations between some dimensions of modular lattices.Comm. Algebra 17 (1989), 1723–1737. MR 1006522, 10.1080/00927878908823816 |
| Reference:
|
[4] M. Stern: Semimodular Lattices: Theory and Applications.University Press, Cambridge, 1999. Zbl 0957.06008, MR 1695504 |
| . |
