Yet Two Additional Large Numbers of Subuniverses of Finite Lattices

By a subuniverse, we mean a sublattice or the emptyset. We prove that the fourth largest number of subuniverses of an n-element lattice is 43 2n−6 for n ≥ 6, and the fifth largest number of subuniverses of an n-element lattice is 85 2n−7 for n ≥ 7. Also, we describe the n-element lattices with exact...

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Bibliographic Details
Main Authors: Ahmed Delbrin, Horváth Eszter K.
Format: Article
Language:English
Published: University of Zielona Góra 2019-12-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1309