n-trivial extensions and multi Hasse-Schmidt derivations
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866914581819949056 |
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| author | Barajas, Paul Duarte, Daniel |
| author_facet | Barajas, Paul Duarte, Daniel |
| contents | We propose a generalization of Hasse-Schmidt derivations that is equivalent to the notion of n-trivial extension introduced by Anderson-Bennis-Fahid-Shaiea, in the same way that derivations are equivalent to trivial extensions. We provide many examples of this generalization and prove some of its basic properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20664 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | n-trivial extensions and multi Hasse-Schmidt derivations Barajas, Paul Duarte, Daniel Commutative Algebra Algebraic Geometry 13N15, 13B99 We propose a generalization of Hasse-Schmidt derivations that is equivalent to the notion of n-trivial extension introduced by Anderson-Bennis-Fahid-Shaiea, in the same way that derivations are equivalent to trivial extensions. We provide many examples of this generalization and prove some of its basic properties. |
| title | n-trivial extensions and multi Hasse-Schmidt derivations |
| topic | Commutative Algebra Algebraic Geometry 13N15, 13B99 |
| url | https://arxiv.org/abs/2605.20664 |