论文标题
等级一个有价值场扩展的缺陷的表征
A characterization for the defect of rank one valued field extensions
论文作者
论文摘要
在本文中,我们介绍了使用定义估值的密钥多项式的简单代数扩展缺陷的表征。作为一个特别的例子,这给出了Kuhlmann提出的依赖性或独立的程度$ P $的缺陷扩展。
In this paper we present a characterization for the defect of a simple algebraic extension of rank one valued fields using the key polynomials that define the valuation. As a particular example, this gives the classification of defect extensions of degree $p$ as dependent or independent presented by Kuhlmann.