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A field K such that every irreducible polynomial over K has distinct roots.
Definition source: English Wiktionary via Wiktextract
Qualifier: field theory
Topics: algebra, mathematics, sciences
Examples
- 1984, Julio R. Bastida, Field Extensions and Galois Theory, Cambridge University Press, Addison-Wesley, page 10, If K is a perfect field of prime characteristic p, and if n is a nonnegative integer, then the mapping α→α from K to K is an automorphism.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
No etymology was provided for this word.
Across languages
Translations
4 source translations are retained for this English entry.
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French:
corps parfait
— field such that every irreducible polynomial over it has distinct roots
-
German:
perfekter Körper
— field such that every irreducible polynomial over it has distinct roots
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German:
vollkommener Körper
— field such that every irreducible polynomial over it has distinct roots
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Polish:
ciało doskonałe
— field such that every irreducible polynomial over it has distinct roots
