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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2605.12849 |
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| _version_ | 1866910214411780096 |
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| author | Jia, Hongyu Xiao, Zhankui |
| author_facet | Jia, Hongyu Xiao, Zhankui |
| contents | Commuting maps on a class of algebras called inflated algebras are investigated. In particular, we can prove that every commuting map $θ$ on such an algebra is of the form $θ(x)=c x+μ(x)$, where $c$ belongs to the base field $K$ of characteristic not 2, and $μ$ is a central-valued linear map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12849 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Commuting maps of inflated algebras Jia, Hongyu Xiao, Zhankui Rings and Algebras Commuting maps on a class of algebras called inflated algebras are investigated. In particular, we can prove that every commuting map $θ$ on such an algebra is of the form $θ(x)=c x+μ(x)$, where $c$ belongs to the base field $K$ of characteristic not 2, and $μ$ is a central-valued linear map. |
| title | Commuting maps of inflated algebras |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2605.12849 |