Category
page 1Field extensions
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