Discrete Valuation - Discrete Valuation Rings and Valuations On Fields

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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