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:

    But the old world was restored and we returned
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    Of rich and poor. Our victory was our defeat.
    Sir Herbert Read (1893–1968)

    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 adjustment of qualities is so perfect between men and women, and each is so necessary to the other, that the idea of inferiority is absurd.
    “Jennie June” Croly 1829–1901, U.S. founder of the woman’s club movement, journalist, author, editor. Demorest’s Illustrated Monthly and Mirror of Fashions, p. 204 (August 1866)