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:
“It was a very primitive kind of harbor, where boats were drawn up amid the stumps,—such a one, methought, as the Argo might have been launched in.”
—Henry David Thoreau (1817–1862)
“Lisa Fremont: Surprise is the most important element of attack. And besides, you’re not up on your private eye literature. When they’re in trouble it’s always their girl Friday who gets them out of it.
L.B. Jeffries: Well, is she the girl who saves him from the clutches of the seductive show girls and the over passionate daughters of the rich?
Lisa Fremont: The same.
L.B. Jeffries: That’s the one, huh? But he never ends up marrying her, does he? That’s strange.”
—John Michael Hayes (b. 1919)