Primitive element

In mathematics, the term primitive element can mean:

Primitive root modulo n, in number theory
Primitive element (field theory), an element that generates a given field extension
Primitive element (finite field), an element that generates the multiplicative group of a finite field
in a Hopf algebra, an element X on which the comultiplication Δ has the value Δ(X) = X⊗1 + 1⊗X
in a free group, an element of a free generating set

See also