Degree (mathematics) - Degree of A Field Extension

Degree of A Field Extension

Given a field extension K/F, the field K can be considered as a vector space over the field F. The dimension of this vector space is the degree of the extension and is denoted by .

Read more about this topic:  Degree (mathematics)

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

    I happen to feel that the degree of a person’s intelligence is directly reflected by the number of conflicting attitudes she can bring to bear on the same topic.
    Lisa Alther (b. 1944)

    As to the bride, she is blithe as the month; if one can compare in any degree a weed of December, with the fragrance of May; for a weed in truth it is, and a weed not in its first prime.
    Frances Burney (1752–1840)

    And through the field the road runs by
    To many-towered Camelot;
    Alfred Tennyson (1809–1892)

    Where there is reverence there is fear, but there is not reverence everywhere that there is fear, because fear presumably has a wider extension than reverence.
    Socrates (469–399 B.C.)