A study of irreducible polynomials over henselian valued fields via distinguished pairs

被引：0

作者：

Aghigh, K. ^{[2
]}

Bishnoi, A.

Kumar, S.

Khanduja, S. K. ^{[1
]}

机构：

[1] IISER, Sect 81, Sas Nagar 140306, Punjab, India

[2] KN Toosi Univ Technol, Dept Math, Tehran, Iran

来源：

VALUATION THEORY IN INTERACTION | 2014年

关键词：

Valued fields; Non-Archimedean valued fields; Irreducible polynomials; TRANSCENDENTAL EXTENSIONS; MINIMAL PAIRS; THEOREM; ROOTS; INVARIANTS; CHAINS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give an introduction of the phenomenon of lifting with respect to residually transcendental extensions, the notion of distinguished pairs and complete distinguished chains which lead to the study of certain invariants associated to irreducible polynomials over valued fields. We give an overview of various results regarding these concepts and their applications.

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页码：1 / +

页数：4

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