Valuations of rational nondiscrete type
Received date: 2008-03-21
Revised date: 2008-07-01
Online published: 2009-03-15
许宁 . 有理非离散型赋值[J]. 中国科学院大学学报, 2009 , 26(2) : 167 -172 . DOI: 10.7523/j.issn.2095-6134.2009.2.004
In this paper, we study the valuations of rational nondiscrete type. Let K be a 2-dimensional purely transcendental field extension of k. By defining the φ-degree of a monomial when φ is a formal series satisfying some given conditions, we show that every k-valuation of K can be defined by a transcendental formal series.
Key words： valuation; rational nondiscrete; transcendental formal series; φ-degree
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