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

Novacoski, Josnei

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.

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