Geodesic
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.
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 
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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/

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[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. | DOI | MR

[3] P.  Grzeszczuk, J.  Okiński and E. R.  Puczyłowski: Relations between some dimensions of modular lattices. Comm. Algebra 17 (1989), 1723–1737. | DOI | MR

[4] M.  Stern: Semimodular Lattices: Theory and Applications. University Press, Cambridge, 1999. | MR | Zbl