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On finitely generated simple complemented lattices
1981
Canadian mathematical bulletin
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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]). The purpose
doi:10.4153/cmb-1981-010-8
fatcat:nbkg67yfd5bi7hzicrbki5hupy