A note on lattices with many sublattices
Gábor Czédli, Eszter K. Horváth · Miskolc mathematical notes/Mathematical notes · 2019
For every natural number n 5, we prove that the number of subuniverses of an nelement lattice is 2 n , 13 2 n 4 , 23 2 n 5 , or less than 23 2 n 5 .Also, we describe the n-element lattices with exactly 2 n , 13 2 n 4 , or 23 2 n 5 subuniverses.