Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (148 kB)
References:
PDF
HTML
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
\Bibitem{Ers13}
\by Yu.~L.~Ershov
\paper Integral closure of a~valuation ring in a~finite extension
\jour Algebra Logika
\yr 2013
\vol 52
\issue 1
\pages 84--91
\mathnet{http://mi.mathnet.ru/al573}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3113479}
\zmath{https://zbmath.org/?q=an:06189475}
\transl
\jour Algebra and Logic
\yr 2013
\vol 52
\issue 1
\pages 61--66
\crossref{https://doi.org/10.1007/s10469-013-9219-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000319133000006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884915000}
Linking options:
  • https://www.mathnet.ru/eng/al573
  • https://www.mathnet.ru/eng/al/v52/i1/p84
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:343
    Full-text PDF :71
    References:57
    First page:37
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024