Category

Field extensions

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field extension

pair of a mathematical field and its subfield

algebraic extension

field extension via adjoining solutions to polynomials with coefficients in the subfield

Galois extension

algebraic field extension where the automorphism group fixes precisely the base field

algebraic closure

algebraic field extension

normal extension

algebraic field extension

separable extension

in field theory, an algebraic field extension

abelian extension

field extension whose Galois group is abelian

simple extension

field extension generated by a one element

Degree of a field extension

dimension of the vector space arising from a field extension

tower of fields

in mathematics, a sequence of field extensions