On Kronecker's Solvability Theorem
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866915236078944256 |
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| author | Pan, Yan Chen, Yuzhen |
| author_facet | Pan, Yan Chen, Yuzhen |
| contents | Kronecker's 1856 paper contains a solvability theorem that is useful to construct unsolvable algebraic equations. We show how Kronecker's solvability theorem can be derived naturally via a polynomial complete decomposition method. This method is similar to Dörrie, but we fill a gap that appears in his proof. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1912_07489 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On Kronecker's Solvability Theorem Pan, Yan Chen, Yuzhen Rings and Algebras 12E05, 12F15 Kronecker's 1856 paper contains a solvability theorem that is useful to construct unsolvable algebraic equations. We show how Kronecker's solvability theorem can be derived naturally via a polynomial complete decomposition method. This method is similar to Dörrie, but we fill a gap that appears in his proof. |
| title | On Kronecker's Solvability Theorem |
| topic | Rings and Algebras 12E05, 12F15 |
| url | https://arxiv.org/abs/1912.07489 |