16.2 IsAlgebraicExtension

IsAlgebraicExtension( D )

IsAlgebraicExtension returns true if the object D is an algebraic field extension and false otherwise.

More precisely, IsAlgebraicExtension tests whether D is an algebraic field extension record (see Algebraic Extension Records). So, for example, a matrix ring may in fact be a field extension, yet IsAlgebraicExtension would return false.

    gap> IsAlgebraicExtension(e);
    true
    gap> IsAlgebraicExtension(Rationals);
    false

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