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:
“Look at this poet William Carlos Williams: he is primitive and native, and his roots are in raw forest and violent places; he is word-sick and place-crazy. He admires strength, but for what? Violence! This is the cult of the frontier mind.”
—Edward Dahlberg (1900–1977)
“Every American, to the last man, lays claim to a “sense” of humor and guards it as his most significant spiritual trait, yet rejects humor as a contaminating element wherever found. America is a nation of comics and comedians; nevertheless, humor has no stature and is accepted only after the death of the perpetrator.”
—E.B. (Elwyn Brooks)