On the finiteness of certain factorization invariants

Laura Cossu, Salvatore Tringali

Let $H$ be a monoid, $\mathcal{F}(X)$ be the free monoid on a set $X$, and ${\pi }_H$ be the unique extension of the identity map on $H$ to a monoid homomorphism $\mathcal{F}(H)\to H$. G…