The Ozone groups of PI Artin-Schelter regular algebras are abelian
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917168876093440 |
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| author | Liu, Silu Wu, Quanshui Zhu, Ruipeng |
| author_facet | Liu, Silu Wu, Quanshui Zhu, Ruipeng |
| contents | We prove that the ozone group of any PI Artin-Schelter regular algebra is abelian, which answers a question of Chan-Gaddis-Won-Zhang. For any Calabi-Yau PI Artin-Schelter regular algebra, we prove that the homological determinant of its ozone group acting on it is trivial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21056 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Ozone groups of PI Artin-Schelter regular algebras are abelian Liu, Silu Wu, Quanshui Zhu, Ruipeng Rings and Algebras 16E65, 16W22, 16S38 We prove that the ozone group of any PI Artin-Schelter regular algebra is abelian, which answers a question of Chan-Gaddis-Won-Zhang. For any Calabi-Yau PI Artin-Schelter regular algebra, we prove that the homological determinant of its ozone group acting on it is trivial. |
| title | The Ozone groups of PI Artin-Schelter regular algebras are abelian |
| topic | Rings and Algebras 16E65, 16W22, 16S38 |
| url | https://arxiv.org/abs/2512.21056 |