Algebraically Closed Field

In abstract algebra, an algebraically closed field F contains a root for every non-constant polynomial in F, the ring of polynomials in the variable x with coefficients in F.

Read more about Algebraically Closed Field:  Examples, Equivalent Properties, Other Properties

Famous quotes containing the words closed and/or field:

    Had I made capital on my prettiness, I should have closed the doors of public employment to women for many a year, by the very means which now makes them weak, underpaid competitors in the great workshop of the world.
    Jane Grey Swisshelm (1815–1884)

    How sweet I roam’d from field to field
    And tasted all the summer’s pride,
    Till I the Prince of Love beheld
    Who in the sunny beams did glide!
    William Blake (1757–1827)