minimal polynomial (Q2242730)
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given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | minimal polynomial |
given an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0 |
Statements
![{\displaystyle \min _{a\leq b\iff \deg a\leq \deg b}\{p\in K[x]\colon p(\alpha )=0,\;p(x)=x^{\deg p}+{\mathcal {O}}(x^{\deg p-1})\}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4b674cc349e9cc29684c4eb9fc354d6a35809e61)
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Wikipedia(19 entries)
- arwiki متعددة الحدود الدنيا (نظرية الحقول)
- cawiki Polinomi minimal
- cswiki Minimální polynom (teorie těles)
- dewiki Minimalpolynom
- elwiki Ελάχιστο πολυώνυμο
- enwiki Minimal polynomial (field theory)
- eswiki Polinomio mínimo (teoría de cuerpos)
- fawiki چندجملهای کمینه (نظریه میدان)
- frwiki Polynôme minimal (théorie des corps)
- hewiki פולינום מינימלי
- jawiki 最小多項式 (体論)
- kowiki 최소 다항식 (체론)
- nlwiki Minimale polynoom (galoistheorie)
- ptwiki Polinômio mínimo
- rowiki Polinom minimal
- ruwiki Минимальный многочлен алгебраического элемента
- ukwiki Мінімальний многочлен (теорія полів)
- viwiki Đa thức tối tiểu (lý thuyết trường)
- zhwiki 極小多項式