Geodesic
The Spectrum of a Finite Lattice: Breadth and Length Techniques
Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 319-329

Voir la notice de l'article provenant de la source Cambridge University Press

Efforts to determine the orders of the sublattices of an arbitrary finite lattice date back at least to the early 1930's, and notably, in the work of Fritz Klein-Barmen [3], [4]. Nevertheless, very little that is new has appeared in the literature since that time. 
Nowakowski, Richard; Rival, Ivan. The Spectrum of a Finite Lattice: Breadth and Length Techniques. Canadian mathematical bulletin, Tome 20 (1977) no. 3, pp. 319-329. doi: 10.4153/CMB-1977-049-0
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[1] 1. Dilworth, R. P., A decomposition theorem for partially ordered sets, Ann. Math. 51 (1950), 161-166. Google Scholar

[2] 2. Kelly, D. and Rival, I.. Crowns, fences and dismantlable lattices, Canad. J. Math. 26 (1974). 1257-1271. Google Scholar

[3] 3. Klein-Barmen, Fr., Grundzüge der Théorie der Verbànde, Math. Ann. 111 (1935), 596-621. Google Scholar

[4] 4. Klein-Barmen, Fr., Birkhoffsche und harmonische Verbànde, Math. Zeit. 42 (1937). 58-81. Google Scholar

[5] 5. Rival, I., Finite modular lattices with sublattices of all orders, Notices Amer. Math. Soc. (1973), *73T-A38. Google Scholar

[6] 6. Rival, I., Lattices with doubly irreducible elements, Canad. Math. Bull. 17 (1974), 91-95. Google Scholar

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