Similarity of Matrices over Dedekind Rings
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866909946846642176 |
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| author | Zhu, Ziyang |
| author_facet | Zhu, Ziyang |
| contents | We extend Latimer and MacDuffee's theorem to a general commutative domain and apply this result to study similarity of matrices over integral rings of number fields. We also conjecture similarity over discrete valuation rings can be descent by a finite covering and verify this conjecture for $2\times2$ matrices and separable characteristic polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08501 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Similarity of Matrices over Dedekind Rings Zhu, Ziyang Number Theory 11S45, 14G20, 16H20 We extend Latimer and MacDuffee's theorem to a general commutative domain and apply this result to study similarity of matrices over integral rings of number fields. We also conjecture similarity over discrete valuation rings can be descent by a finite covering and verify this conjecture for $2\times2$ matrices and separable characteristic polynomials. |
| title | Similarity of Matrices over Dedekind Rings |
| topic | Number Theory 11S45, 14G20, 16H20 |
| url | https://arxiv.org/abs/2405.08501 |