Centralizers in Free Associative Algebras and Generic Matrices
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866913761169768448 |
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| author | Belov-Kanel, Alexei Razavinia, Farrokh Zhang, Wenchao |
| author_facet | Belov-Kanel, Alexei Razavinia, Farrokh Zhang, Wenchao |
| contents | This paper is concerned with the completion of the proof of the Bergman centralizer theorem by using generic matrices based on our previous quantization proof \cite{KBRZh}. Additionally, we establish that the algebra of generic matrices with characteristic coefficients is integrally closed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_03307 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Centralizers in Free Associative Algebras and Generic Matrices Belov-Kanel, Alexei Razavinia, Farrokh Zhang, Wenchao Rings and Algebras 16R50, 13A99, 53D55 This paper is concerned with the completion of the proof of the Bergman centralizer theorem by using generic matrices based on our previous quantization proof \cite{KBRZh}. Additionally, we establish that the algebra of generic matrices with characteristic coefficients is integrally closed. |
| title | Centralizers in Free Associative Algebras and Generic Matrices |
| topic | Rings and Algebras 16R50, 13A99, 53D55 |
| url | https://arxiv.org/abs/1812.03307 |