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:
“The most primitive places left with us are the swamps, where the spruce still grows shaggy with usnea.”
—Henry David Thoreau (1817–1862)
“Only the rare expands our minds, only as we shudder in the face of a new force do our feelings increase. Therefore the extraordinary is always the measure of all greatness. And the creative element always remains the value superior to all others and the mind superior to our minds.”
—Stefan Zweig (18811942)