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:

    “This is a very primitive country.”
    —James Poe (1921–1980)

    “Other sins only speak; murder shrieks out:
    The element of water moistens the earth,
    But blood flies upwards, and bedews the heavens.”
    —John Webster (1580–1625)