A characterization for the defect of rank one valued field extensions

被引：0
|
作者：
Novacoski, Josnei [1 ,2 ]
机构：
[1] Univ Fed Sao Carlos, Dept Matemat, Sao Carlos, SP, Brazil
[2] Univ Fed Sao Carlos, Dept Matemat, Rod Washington Luis 235, BR-13565905 Sao Carlos, SP, Brazil
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2024年 / 109卷 / 03期
关键词：
D O I：
10.1112/jlms.12881
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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$p$ as dependent or independent presented by Kuhlmann.
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页数：16
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