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Algebra i logika, 2001, Volume 40, Number 4, Pages 396–414 (Mi al228)  
This article is cited in 8 scientific papers (total in 8 papers)

Different Definitions of Algebraically Closed Skew Fields

P. S. Kolesnikov
Full-text PDF (1549 kB) Citations (8)
Abstract: We consider an algebraically closed (in the sense of solvability of arbitrary polynomial equations) skew field constructed by Makar – Limanov. It is shown that every generalized polynomial equation with more than one homogeneous component has a non-zero solution. We also look into P. Cohn's approach to defining algebraically closed non-commutative skew fields and treat some related problems.
Keywords: algebraically closed skew field, polynomial equation.
Received: 01.11.1999
English version:
Algebra and Logic, 2001, Volume 40, Issue 4, Pages 219–230
DOI: https://doi.org/10.1023/A:1012338502261
Bibliographic databases:
UDC: 512.552.32
Language: Russian
Citation: P. S. Kolesnikov, “Different Definitions of Algebraically Closed Skew Fields”, Algebra Logika, 40:4 (2001), 396–414; Algebra and Logic, 40:4 (2001), 219–230
Citation in format AMSBIB
\Bibitem{Kol01}
\by P.~S.~Kolesnikov
\paper Different Definitions of Algebraically Closed Skew Fields
\jour Algebra Logika
\yr 2001
\vol 40
\issue 4
\pages 396--414
\mathnet{http://mi.mathnet.ru/al228}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1867924}
\zmath{https://zbmath.org/?q=an:1016.16010}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 4
\pages 219--230
\crossref{https://doi.org/10.1023/A:1012338502261}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549104020}
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    • This publication is cited in the following 8 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:290
    Full-text PDF :120
    References:1
    First page:1
     
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