有理非离散型赋值 |
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作者姓名: | 许宁 |
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作者单位: | 中国科学院研究生院, 北京 100049 |
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摘 要: | 研究了有理非离散型赋值.令K为k的2维纯超越域扩张.通过定义一个单项式的φ-次数,其中φ是满足给定条件的形式级数,得到K的每个k赋值都可以由一个超越形式级数来定义.
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关 键 词: | 赋值 有理非离散 超越形式级数 &phi -次数 |
收稿时间: | 2008-03-21 |
修稿时间: | 2008-07-01 |
Valuations of rational nondiscrete type |
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Authors: | XU Ning |
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Institution: | Graduate University of the Chinese Academy of Sciences, Beijing 100049, China |
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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. |
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Keywords: | valuation rational nondiscrete transcendental formal series φ-degree |
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