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- Title
THE FIRST THREE LARGEST NUMBERS OF SUBUNIVERSES OF SEMILATTICES.
- Authors
AHMED, DELBRIN; HORVÁTH, ESZTER K.
- Abstract
Let (L,∨) be a finite n-element semilattice where n ≥ 5. We prove that the first largest number of subuniverses of an n-element semilattice is 2n, while the second largest number is 28 · 2n-5 and the third one is 26 · 2n-5. Also, we describe the n-element semilattices with exactly 2n, 28 · 2n-5 or 26 · 2n-5 subuniverses.
- Subjects
LATTICE theory; ABSTRACT algebra; SET theory; SEMILATTICES; ORDERED sets
- Publication
Miskolc Mathematical Notes, 2021, Vol 22, Issue 2, p521
- ISSN
1787-2405
- Publication type
Article
- DOI
10.18514/MMN.2021.3368