Conjugate element (field theory) (source code)

= Conjugate element (field theory)
{wiki=Conjugate_element_(field_theory)}

In field theory, particularly in the context of abstract algebra and number theory, the concept of a "conjugate element" often refers to the behavior of roots of polynomials and their extensions in fields. \#\#\# Conjugate Elements in Field Theory 1. **Field Extensions**: When we have a field extension \\( K \\subset L \\), elements of \\( L \\) that are roots of a polynomial with coefficients in \\( K \\) are called conjugates of each other.