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 sight of a Black nun strikes their sentimentality; and, as I am unalterably rooted in native ground, they consider me a work of primitive art, housed in a magical color; the incarnation of civilized, anti-heathenism, and the fruit of a triumphing idea.”
—Alice Walker (b. 1944)
“Cranks live by theory, not by pure desire. They want votes, peace, nuts, liberty, and spinning-looms not because they love these things, as a child loves jam, but because they think they ought to have them. That is one element which makes the crank.”
—Rose Macaulay (1881–1958)