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:

    “Each structure and institution here was so primitive that you could at once refer it to its source; but our buildings commonly suggest neither their origin nor their purpose.”
    —Henry David Thoreau (1817–1862)

    “In our day the conventional element in literature is elaborately disguised by a law of copyright pretending that every work of art is an invention distinctive enough to be patented.”
    —Northrop Frye (b. 1912)