On an isomorphism problem for reduced finitary power monoids
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发布日期:2026-04-07 10:36:13
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.
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.
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