On the set of Set(n)’s. Part 2
Krassimir Todorov Atanassov · Notes on Number Theory and Discrete Mathematics · 2025
In the previous author's research, the set of $\underline{\rm Set}(n)$'s for natural numbers $n$ was constructed. For this set it was proved that it is a commutative semi-group. The condition for which it is a monoid was given. The present leg of research continues by demonstrating that for any $n,$ $\underline{\rm Set}(n)$ is a lattice, and by the introduction of four new operations over the elements of $\underline{\rm Set}(n)$.