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Algebra i logika, 2013, Volume 52, Number 1, Pages 84–91 (Mi al573)  
Integral closure of a valuation ring in a finite extension

Yu. L. Ershovab

a Novosibirsk State University, Novosibirsk, Russia
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
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Abstract: The main result of the paper is
THEOREM 1. If a minimal polynomial $f$ for $\theta$ over $F$ is $v$-separable, then there exists a nonzero element $\pi\in R$ such that $\pi S\le R[\theta]$.
Keywords: valued field, minimal polynomial, $v$-separable polynomial.
Received: 01.03.2013
English version:
Algebra and Logic, 2013, Volume 52, Issue 1, Pages 61–66
DOI: https://doi.org/10.1007/s10469-013-9219-8
Bibliographic databases:
Document Type: Article
UDC: 512.52
Language: Russian
Citation: Yu. L. Ershov, “Integral closure of a valuation ring in a finite extension”, Algebra Logika, 52:1 (2013), 84–91; Algebra and Logic, 52:1 (2013), 61–66
Citation in format AMSBIB
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    		Алгебра и логика Algebra and Logic
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    References:48
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