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有理非离散型赋值

许宁

中国科学院研究生院学报2009,Vol.26Issue(2):167-172,6.
中国科学院研究生院学报2009,Vol.26Issue(2):167-172,6.

有理非离散型赋值

Valuations of rational nondiscrete type

许宁1

作者信息

  • 1. 中国科学院研究生院,北京,100049
  • 折叠

摘要

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 ψ-degree of a monomial when ψ is a formal series satisfying some given conditions, we show that every k-valuation of K can be defined by a transcendental formal series.

关键词

赋值/有理非离散/超越形式级数/ψ-次数

Key words

valuation/rational nondiserete/transcendental formal series/ψ-degree

分类

数理科学

引用本文复制引用

许宁..有理非离散型赋值[J].中国科学院研究生院学报,2009,26(2):167-172,6.

中国科学院研究生院学报

OA北大核心CSCDCSTPCD

2095-6134

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