Abstract Factorization Theorems with Applications to Idempotent Factorizations

Laura Cossu, Salvatore Tringali

Let $⪯$ be a preorder on a monoid $H$ and $s$ be an integer $\ge 2$. The $⪯$-height of an $x\in H$ is the sup of the integers $k\ge 1$ for which there is a (strictly)…