A note on division rings satisfying generalized rational identities with anti-automorphisms
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915567043084288 |
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| author | Thu, Vo Hoang Minh Trang, Vu Mai |
| author_facet | Thu, Vo Hoang Minh Trang, Vu Mai |
| contents | Let $D$ be a division ring with infinite center $F$; $σ$ be an anti-automorphism of $D$ and $m$ be a positive integer such that $σ^m\neq \mathrm{Id}$. In this paper, we show that if $D$ satisfies a $σ^m$-GRI, then $D$ is centrally finite. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on division rings satisfying generalized rational identities with anti-automorphisms Thu, Vo Hoang Minh Trang, Vu Mai Rings and Algebras Let $D$ be a division ring with infinite center $F$; $σ$ be an anti-automorphism of $D$ and $m$ be a positive integer such that $σ^m\neq \mathrm{Id}$. In this paper, we show that if $D$ satisfies a $σ^m$-GRI, then $D$ is centrally finite. |
| title | A note on division rings satisfying generalized rational identities with anti-automorphisms |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2503.20562 |