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bn:03289137n
Noun Concept
Categories: Field theory, Ring theory
EN
perfect field  Characteristic exponent  imperfect field  Imperfect field extension  Perfect algebra
EN
In algebra, a field k is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has distinct roots. Wikipedia
Definitions
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Sources
EN
In algebra, a field k is perfect if any one of the following equivalent conditions holds: Every irreducible polynomial over k has distinct roots. Wikipedia
A field K such that every irreducible polynomial over K has distinct roots. Wiktionary
Field such that every irreducible polynomial over it has distinct roots. Wiktionary (translation)
IS A
field
HAS KIND
algebraically closed field
finite field
STUDIED BY
field
Wikipedia
EN
perfect field
Wikidata
EN
perfect field
Wiktionary
EN
perfect field
Wikipedia Redirections
EN
Characteristic exponent (algebra), imperfect field, Imperfect field extension, Perfect algebra, perfect closure

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