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
Famous quotes containing the words primitive and/or element:
“This is a very primitive country.”
—James Poe (1921–1980)
“Out of the element of participation follows the certainty of faith; out of the element of separation follows the doubt in faith. And each is essential for the nature of faith. Sometimes certainty conquers doubt, but it cannot eliminate doubt. The conquered of today may become the conqueror of tomorrow. Sometimes doubt conquers faith, but it still contains faith. Otherwise it would be indifference.”
—Paul Tillich (1886–1965)