Structure and arithmetic of multivariate Ore extensions
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918350175600640 |
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| author | Leroy, André Merdach, Huda |
| author_facet | Leroy, André Merdach, Huda |
| contents | We give the basic structure of the multivariable Ore extensions $S=A[\underline{t} ; σ, \underlineδ]$ introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT's) are introduced and correspond to modules over $S$. These maps are strongly connected to the evaluation of polynomials in $S$. A general product formula is obtained. PMT's help to put some structure on the set of roots of a polynomial $f(t) \in S$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19342 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Structure and arithmetic of multivariate Ore extensions Leroy, André Merdach, Huda Rings and Algebras 15A04, 16S36, 16S20, 16U70, 17B20 We give the basic structure of the multivariable Ore extensions $S=A[\underline{t} ; σ, \underlineδ]$ introduced in the work of Martínez-Peñas and Kschischang. The Pseudo multilinear transformations (PMT's) are introduced and correspond to modules over $S$. These maps are strongly connected to the evaluation of polynomials in $S$. A general product formula is obtained. PMT's help to put some structure on the set of roots of a polynomial $f(t) \in S$. |
| title | Structure and arithmetic of multivariate Ore extensions |
| topic | Rings and Algebras 15A04, 16S36, 16S20, 16U70, 17B20 |
| url | https://arxiv.org/abs/2602.19342 |