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:

    “One man’s observation is another man’s closed book or flight of fancy.”
    —Willard Van Orman Quine (b. 1908)

    “She is as in a field a silken tent
    At midday when a sunny summer breeze
    Has dried the dew and all its ropes relent,”
    —Robert Frost (1874–1963)