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bn:03824269n
Noun Concept
Categories: Field extensions
EN
normal extension  normal closure  normal field extension  quasi-Galois extension  quasi-Galois field extension
EN
In abstract algebra, a normal extension is an algebraic field extension L/K for which every irreducible polynomial over K which has a root in L, splits into linear factors in L. These are one of the conditions for algebraic extensions to be a Galois extension. Wikipedia
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EN
In abstract algebra, a normal extension is an algebraic field extension L/K for which every irreducible polynomial over K which has a root in L, splits into linear factors in L. These are one of the conditions for algebraic extensions to be a Galois extension. Wikipedia
algebraic field extension Wikidata
A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial. Wiktionary
IS A
field extension
HAS KIND
Galois extension
Wikipedia
EN
normal extension
Wikidata
EN
normal extension
Wiktionary
EN
normal extension
Wikipedia Redirections
EN
normal closure (field theory), Normal field extension, quasi-Galois extension
Wikidata Alias
EN
normal field extension, quasi-Galois extension, quasi-Galois field extension

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