The Sixth and Seventh Largest Number of Subuniverses of Finite Lattices
DOI:
https://doi.org/10.25007/ajnu.v12n1a1713Keywords:
Abstract. By a subuniverse, we mean a sublattice or the emptyset. We prove that the sixth largest number of subuniverses of an n-element lattice is 21.125·2n−5 and the seventh largest number is 20.75 · 2n−5. Also, we describe the n-element lattices with exactly 21.125 · 2n−5 and 20.75 · 2n−5 subuniversesAbstract
Abstract. By a subuniverse, we mean a sublattice or the emptyset. We prove that the sixth largest number of subuniverses of an
n-element lattice is 21.125·2n-5 and the seventh largest number is
20.75 · 2n-5. Also, we describe the n-element lattices with exactly
21.125 · 2n-5 and 20.75 · 2n-5 subuniverses
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