2 problems

Let $H$ be a monoid that is not torsion, and let $\mathcal P_{\mathrm{fin},1}(H)$ be its finitary power monoid containing the identity. A length set is the set of factorization len…

Let $G$ be a finite abelian group with $|G|>4$. Write $\rho(G)$ for its elasticity and let $\Delta{\rho}(G)$ be the set of all $dinmathbb N$ such that, for every $kinmathbb N$, ther…