Relative Dixmier property for Poisson algebras
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910000909123584 |
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| author | Huang, Hongdi Nazemian, Zahra Tang, Xin Wang, Xingting Wang, Yanhua Zhang, James J. |
| author_facet | Huang, Hongdi Nazemian, Zahra Tang, Xin Wang, Xingting Wang, Yanhua Zhang, James J. |
| contents | Dixmier property concerns the bijectivity of endomorphisms for algebras. We introduce a relative Dixmier property, which is a generalization of the Dixmier property. This new concept has applications in proving that several classes of Poisson algebras possess the Dixmier property, as well as in other topics such as the cancellation problem and the non-existence of Hopf coactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18249 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Relative Dixmier property for Poisson algebras Huang, Hongdi Nazemian, Zahra Tang, Xin Wang, Xingting Wang, Yanhua Zhang, James J. Algebraic Geometry Commutative Algebra Rings and Algebras Representation Theory 17B63, 17B40, 16S36, 16W20 Dixmier property concerns the bijectivity of endomorphisms for algebras. We introduce a relative Dixmier property, which is a generalization of the Dixmier property. This new concept has applications in proving that several classes of Poisson algebras possess the Dixmier property, as well as in other topics such as the cancellation problem and the non-existence of Hopf coactions. |
| title | Relative Dixmier property for Poisson algebras |
| topic | Algebraic Geometry Commutative Algebra Rings and Algebras Representation Theory 17B63, 17B40, 16S36, 16W20 |
| url | https://arxiv.org/abs/2601.18249 |