Perfect Field - Field Extension Over A Perfect Field

Field Extension Over A Perfect Field

Any finitely generated field extension over a perfect field is separably generated.

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Famous quotes containing the words field, extension and/or perfect:

    “My mother thinks us long away;
    ‘Tis time the field were mown.
    She had two sons at rising day,
    To-night she’ll be alone.
    —A.E. (Alfred Edward)

    We know then the existence and nature of the finite, because we also are finite and have extension. We know the existence of the infinite and are ignorant of its nature, because it has extension like us, but not limits like us. But we know neither the existence nor the nature of God, because he has neither extension nor limits.
    Blaise Pascal (1623–1662)

    The work of art assumes the existence of the perfect spectator, and is indifferent to the fact that no such person exists.
    —E.M. (Edward Morgan)