THE SIXTH AND SEVENTH LARGEST NUMBER OF SUBUNIVERSES OF FINITE LATTICES
Neven Eoarsh Zaya, Dilbak Haje, Delbrin Ahmed · Academic Journal of Nawroz University · 2023
Abstract. By a subuniverse, we mean a sublattice or the emptyset. We prove that the sixth largest number of subuniverses of ann-element lattice is 21.125·2n-5 and the seventh largest number is20.75 · 2n-5. Also, we describe the n-element lattices with exactly21.125 · 2n-5 and 20.75 · 2n-5 subuniverses