The Sixth and Seventh Largest Number of Subuniverses of Finite Lattices

Authors

  • Neven E. Zaya Technical Institute of Administrative, Duhok Polytechnic University
  • Dilbak Haje University of Duhok
  • Delbrin Ahmed University of Duhok; University of Szeged

Keywords:

Finite lattices, subuniverses, sublattice, number of sublattices, partial sublattice

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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Published

2023-03-05

How to Cite

E. Zaya, N., Haje, D., & Ahmed, D. (2023). The Sixth and Seventh Largest Number of Subuniverses of Finite Lattices. Academic Journal of Nawroz University (AJNU), 12(1). Retrieved from https://journals.nawroz.edu.krd/files/article/view/390

Issue

Vol. 12 No. 1 (2023)

Section

Articles

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