Analyzing Subuniverse Counts in Finite Semilattices: Unveiling the Rankings and Descriptions

Delbrin Ahmed, Muwafaq Salih, Dilbak Haje

Let $(L,\vee )$ be a finite n-element semilattice where $n\ge 5$. We prove that the fourth largest number of subuniverses of an $n$-element semilattice is $25\cdot 2^{n-5}$, the fi…