splitting field (Q1996100)
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minimal field in which every polynomial in a given set decomposes into linear factors
- splitting field of a polynomial
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | splitting field |
minimal field in which every polynomial in a given set decomposes into linear factors |
|
Statements
![{\displaystyle p(X)=\prod _{i=1}^{\deg(p)}(X-a_{i}){\text{ where for each i we have }}(X-a_{i})\in L[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f17795fef2ed760de4157b549174ea4df40f4597)
Identifiers
Sitelinks
Wikipedia(20 entries)
- arwiki حقل شاطر (رياضيات)
- cawiki Cos de descomposició
- cswiki Rozkladové těleso
- dewiki Zerfällungskörper
- enwiki Splitting field
- eswiki Cuerpo de descomposición
- fawiki میدان شکافنده
- fiwiki Juurikunta
- frwiki Corps de décomposition
- hewiki שדה פיצול
- itwiki Campo di spezzamento
- jawiki 分解体
- kowiki 분해체
- nlwiki Splijtlichaam
- ptwiki Corpo de decomposição
- ruwiki Поле разложения
- ukwiki Поле розкладу
- viwiki Trường phân rã
- zh_yuewiki 分裂域
- zhwiki 分裂域