Further results on equivalence of multivariate polynomial matrices
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914847109677056 |
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| author | Guan, Jiancheng Liu, Jinwang Li, Dongmei Wu, Tao |
| author_facet | Guan, Jiancheng Liu, Jinwang Li, Dongmei Wu, Tao |
| contents | This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. We first generalized a global-local theorem of Vaserstein. Then we proved these matrices are equivalent to their Smith forms by the generalized global-local theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Further results on equivalence of multivariate polynomial matrices Guan, Jiancheng Liu, Jinwang Li, Dongmei Wu, Tao Commutative Algebra This paper investigates equivalence of square multivariate polynomial matrices with the determinant being some power of a univariate irreducible polynomial. We first generalized a global-local theorem of Vaserstein. Then we proved these matrices are equivalent to their Smith forms by the generalized global-local theorem. |
| title | Further results on equivalence of multivariate polynomial matrices |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2406.16599 |