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)

    “There is probably an element of malice in the readiness to overestimate people: we are laying up for ourselves the pleasure of later cutting them down to size.”
    —Eric Hoffer (1902–1983)