On Finitely Generated Simple Complemented Lattices
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 69-72
Voir la notice de l'article provenant de la source Cambridge University Press
Let L be a lattice, and let P and Q be partially ordered sets. We say that L is generated by P if there is an isotone mapping from P into L with its image generating L. P contains Q if there is a subset Q’ of P which, with the partial ordering inherited from P, gives an isomorphic copy of Q. For an integer n > 0, the lattice of partitions of an n-element set will be denoted by II(n); it is well-known that II(rc) is simple and complemented (cf. P. Crawley-R. P. Dilworth [1; p. 96]).
Poguntke, Werner. On Finitely Generated Simple Complemented Lattices. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 69-72. doi: 10.4153/CMB-1981-010-8
@article{10_4153_CMB_1981_010_8,
author = {Poguntke, Werner},
title = {On {Finitely} {Generated} {Simple} {Complemented} {Lattices}},
journal = {Canadian mathematical bulletin},
pages = {69--72},
year = {1981},
volume = {24},
number = {1},
doi = {10.4153/CMB-1981-010-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-010-8/}
}
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