A Basis Theorem for Rings with Commuting Operators in Characteristic Zero
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916613439094784 |
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| author | Burton, Cas |
| author_facet | Burton, Cas |
| contents | Motivated by the differential basis theorem of Kolchin and the difference-differential basis theorem of Cohn, in this paper we present a basis theorem for polynomial rings equipped with commuting generalised Hasse-Schmidt operators (in the sense of Moosa and Scanlon). We recover Kolchin and Cohn's results as special cases of our main theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19379 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Basis Theorem for Rings with Commuting Operators in Characteristic Zero Burton, Cas Commutative Algebra Rings and Algebras 16P70, 12H05, 12H10 Motivated by the differential basis theorem of Kolchin and the difference-differential basis theorem of Cohn, in this paper we present a basis theorem for polynomial rings equipped with commuting generalised Hasse-Schmidt operators (in the sense of Moosa and Scanlon). We recover Kolchin and Cohn's results as special cases of our main theorem. |
| title | A Basis Theorem for Rings with Commuting Operators in Characteristic Zero |
| topic | Commutative Algebra Rings and Algebras 16P70, 12H05, 12H10 |
| url | https://arxiv.org/abs/2501.19379 |