In this article we further develop the theory of valuation independence and study its relation with classical notions in valuation theory such as immediate and defectless extensions. We use this general theory to settle two open questions regarding vector space defectless extensions of valued fields. Additionally, we provide a characterization of such extensions within various classes of valued fields, extending results of Fran\c{c}oise Delon.

中文翻译：

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论价值领域的价值独立性和无缺陷扩展

在本文中，我们进一步发展了估价独立性理论，并研究了它与估价理论中的经典概念（例如直接和无缺陷扩展）的关系。我们使用这个一般理论来解决关于向量空间无缺陷扩展值域的两个悬而未决的问题。此外，我们提供了对各种有价值字段类别中的此类扩展的表征，扩展了 Fran\c{c}oise Delon 的结果。