讲座内容：

Let $H$ be a multiplicatively written monoid and $\mathcal{P}_{\text{fin},1}(H)$ be the reduced finitary power monoid of $H$, that is, the monoid conisisting of all finite subsets of $H$ that contain the identity $1_H$ with set multiplication as operation. In this talk, we investigate the question whether, for a pair $(H, K)$ of non-isomorphic commutative cancellative monoids, it is possible that $\mathcal{P}_{\text{fin},1}(H) \simeq \mathcal{P}_{\text{fin},1}(K)$. In fact, we provide a precise classification of all such pairs.