Discrete valuation

In mathematics, a discrete valuation is an integer valuation on a field K; that is, a function

satisfying the conditions

for all $x,y\in K$ .

Note that often the trivial valuation which takes on only the values $0,\infty$ is explicitly excluded.

A field with a non-trivial discrete valuation is called a discrete valuation field.

单词	Discrete valuation
释义	Discrete valuation 英语百科 Discrete valuation In mathematics, a discrete valuation is an integer valuation on a field K; that is, a function satisfying the conditions for all $x,y\in K$ . Note that often the trivial valuation which takes on only the values $0,\infty$ is explicitly excluded. A field with a non-trivial discrete valuation is called a discrete valuation field.
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