The isomorphism problem for reduced finitary power monoids
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911408833167360 |
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| author | Rago, Balint |
| author_facet | Rago, Balint |
| contents | Let $H$ be a multiplicatively written monoid with identity $1_H$ and let $\mathcal{P}_{\text{fin},1}(H)$ denote the reduced finitary power monoid of $H$, that is, the monoid consisting of all finite subsets of $H$ containing $1_H$ with set multiplication as operation. Building on work of Tringali and Yan, we give a complete description of pairs of commutative and cancellative monoids $H,K$ for which $\mathcal{P}_{\text{fin},1}(H)$ and $\mathcal{P}_{\text{fin},1}(K)$ are isomorphic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22469 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The isomorphism problem for reduced finitary power monoids Rago, Balint Combinatorics 20M14 Let $H$ be a multiplicatively written monoid with identity $1_H$ and let $\mathcal{P}_{\text{fin},1}(H)$ denote the reduced finitary power monoid of $H$, that is, the monoid consisting of all finite subsets of $H$ containing $1_H$ with set multiplication as operation. Building on work of Tringali and Yan, we give a complete description of pairs of commutative and cancellative monoids $H,K$ for which $\mathcal{P}_{\text{fin},1}(H)$ and $\mathcal{P}_{\text{fin},1}(K)$ are isomorphic. |
| title | The isomorphism problem for reduced finitary power monoids |
| topic | Combinatorics 20M14 |
| url | https://arxiv.org/abs/2601.22469 |