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:
“Financiers are great mythomaniacs, their explanations and superstitions are those of primitive men; the world is a jungle to them. They perceive acutely that they are at the dawn of economic history.”
—Christina Stead (1902–1983)
“Luckily for us, now that steam has narrowed the Atlantic to a strait, the nervous, rocky West is intruding a new and continental element into the national mind, as we shall yet have an American genius.”
—Ralph Waldo Emerson (1803–1882)