Ordered Field

An ordered field is a field F together with a positive cone P.

The preorderings on F are precisely the intersections of families of positive cones on F. The positive cones are the maximal preorderings.

Read more about Ordered Field:  Properties of Ordered Fields, Examples of Ordered Fields, Which Fields Can Be Ordered?, Topology Induced By The Order, Harrison Topology

Famous quotes containing the words ordered and/or field:

    “I am aware that I have been on many a man’s premises, and might have been legally ordered off, but I am not aware that I have been in many men’s houses.”
    —Henry David Thoreau (1817–1862)

    “I see a girl dragged by the wrists
    Across a dazzling field of snow,
    And there is nothing in me that resists.
    Once it would not be so....”
    —Philip Larkin (1922–1986)