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›› 2009, Vol. 26 ›› Issue (2): 167-172.DOI: 10.7523/j.issn.2095-6134.2009.2.004

• Research Articles • Previous Articles     Next Articles

Valuations of rational nondiscrete type

XU Ning   

  1. Graduate University of the Chinese Academy of Sciences, Beijing 100049, China
  • Received:2008-03-21 Revised:2008-07-01 Online:2009-03-15

Abstract:

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

CLC Number: