Discrete Valuation Rings and Valuations On Fields
To every field with discrete valuation we can associate the subring
of, which is a discrete valuation ring. Conversely, the valuation on a discrete valuation ring can be extended to a valuation on the quotient field giving a discrete valued field, whose associated discrete valuation ring is just .
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Famous quotes containing the words discrete, rings and/or fields:
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—W.V. Quine (b. 1908)
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—Administration in the State of Neva, U.S. public relief program. Nevada: A Guide to the Silver State (The WPA Guide to Nevada)
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—Henry David Thoreau (1817–1862)