Jacobian conjecture (Q2605695)
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conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jacobian conjecture |
conjecture asserting that, over a characteristic-zero field K, given a polynomial map f: Kⁿ → Kⁿ, if its Jacobian determinant J: Kⁿ → K is a nonzero constant map, then f admits a polynomial inverse g: Kⁿ → Kⁿ |
Statements
![{\displaystyle \left[{\hat {b}}^{\dagger },{\hat {b}}^{\dagger }\right]_{-}=0}](https://wikimedia.org/api/rest_v1/media/math/render/svg/61181ceded319373055a84dc6a94dc4380a1f656)
Identifiers
Sitelinks
Wikipedia(11 entries)
- arwiki حدسية جاكوبية
- dewiki Jacobi-Vermutung
- elwiki Εικασία του Ιακωβιανού
- enwiki Jacobian conjecture
- eswiki Conjetura jacobiana
- frwiki Conjecture jacobienne
- jawiki ヤコビアン予想
- nlwiki Jacobiaans vermoeden
- pmswiki Congetura jacobian-a
- ruwiki Проблема якобиана
- zhwiki 雅可比猜想