| 有理非离散型赋值 |
| |
| 引用本文： | 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. |
| |
| 作者姓名： | 许宁 |
| |
| 作者单位： | 中国科学院研究生院,北京,100049 |
| |
| 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.
|
| 关 键 词： | 赋值 有理非离散 超越形式级数 φ-次数 |
| 收稿时间： | 2008-03-21 |
| 修稿时间： | 2008-07-01 |
Valuations of rational nondiscrete type |
| |
| XU Ning.Valuations of rational nondiscrete type[J].Journal of the Graduate School of the Chinese Academy of Sciences,2009,26(2):167-172. |
| |
| Authors: | XU Ning |
| |
| Institution: | Graduate University of the Chinese Academy of Sciences, Beijing 100049, China |
| |
| 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. |
| |
| Keywords: | valuation rational nondiserete transcendental formal series |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《中国科学院研究生院学报》浏览原始摘要信息 |
| 点击此处可从《中国科学院研究生院学报》下载免费的PDF全文 |
