On an isomorphism problem for reduced finitary power monoids

发布日期:2026-04-07 10:36:13

主 讲 人 :Balint Rago    
活动时间:2026-04-09 16:30:00
地      点 :数学科学学院D204室(Zoom会议: https://us06web.zoom.us/j/86763384947?pwd=qXhOzOcHvaaiw2jqADI8iqNavdgm14.1)
主办单位:数学科学学院
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.


主讲人介绍:

Balint Rago is a 4th-year PhD student at the University of Graz (Austria) within the Discrete Mathematics Consortium of the Doctoral Academy. His research interests include commutative ring theory, factorization theory and the study of power semigroups and power monoids. He has published in Proceedings of the AMS and Pacific Journal of Mathematics.