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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'discrete valuation ring'
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might want to define "uniformizing parameter" and/or "order" by saforres
Correction id: 479
Filed on: 2002-05-05 12:46:05
Status: Accepted on 2002-07-06 16:09:44
Type: Addendum
Correction text:
Just some notation that might come in handy for people, but doesn't really add to the ideas in your definition:
A uniforming parameter for a DVR $R$ is any nonzero element $t$ contained in the maximal ideal of $R$.
A result is that every element $z \in R$ can be written as $ut^n$ for $u$ a unit and $n$ an integer. The exponent $n$ is called the order of $z$ with respect to the parameter $t$.
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Comment from object owner djao:
| Material has been added (with some minor details changed for correctness). |
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