Semigroups of ideals and isomorphism problems

Pedro A. Garcia-Sanchez, Salvatore Tringali

Let $H$ be a monoid (written multiplicatively). We call $H$ Archimedean if, for all $a,b\in H$ such that $b$ is a non-unit, there is an integer $k\ge 1$ with $b^k\in HaH$; stro…