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Algebra i logika, 2004, Volume 43, Number 5, Pages 582–588 (Mi al91)  
This article is cited in 6 scientific papers (total in 6 papers)

Extremal Valued Fields

Yu. L. Ershov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (147 kB) Citations (6)
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Abstract: It is shown that every finite-dimensional skew field whose center is an extremal valued field is defect free. We construct an example of an algebraically complete valued field such that a finite-dimensional skew field over it has a non-trivial defect, that is, there exist algebraically complete valued fields that are not extremal.
Keywords: extremal valued field, algebraically complete valued field.
Received: 02.02.2004
Revised: 16.04.2004
English version:
Algebra and Logic, 2004, Volume 43, Issue 5, Pages 327–330
DOI: https://doi.org/10.1023/B:ALLO.0000044281.72007.d0
Bibliographic databases:
UDC: 510.53
Language: Russian
Citation: Yu. L. Ershov, “Extremal Valued Fields”, Algebra Logika, 43:5 (2004), 582–588; Algebra and Logic, 43:5 (2004), 327–330
Citation in format AMSBIB
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\by Yu.~L.~Ershov
\paper Extremal Valued Fields
\jour Algebra Logika
\yr 2004
\vol 43
\issue 5
\pages 582--588
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2112060}
\zmath{https://zbmath.org/?q=an:1115.12002}
\transl
\jour Algebra and Logic
\yr 2004
\vol 43
\issue 5
\pages 327--330
\crossref{https://doi.org/10.1023/B:ALLO.0000044281.72007.d0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249099823}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
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    Abstract page:345
    Full-text PDF :117
    References:62
    First page:1
     
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