Primitive Element

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:

    Good music is very close to primitive language.
    Denis Diderot (1713–1784)

    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)