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Algebra i logika, 2000, Volume 39, Number 6, Pages 662–692 (Mi al247)  
This article is cited in 9 scientific papers (total in 9 papers)

The Makar-Limanov algebraically closed skew field

P. S. Kolesnikov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (2719 kB) Citations (9)
Abstract: We re-prove the Makar-Limanov theorem on the existence of an algebraically closed skew field in the sense of there being a solution for any (generalized) polynomial equation. A new example of such a skew field is presented in which the Makar-Limanov construction is contained as a skew subfield. Our reasoning is underpinned by the main ideas of the original proof, but we employ a simpler argument for proving that the skew field constructed is algebraically closed.
Received: 16.10.1999
Revised: 24.03.2000
English version:
Algebra and Logic, 2000, Volume 39, Issue 6, Pages 378–395
DOI: https://doi.org/10.1023/A:1010270602485
Bibliographic databases:
UDC: 512.552.32
Language: Russian
Citation: P. S. Kolesnikov, “The Makar-Limanov algebraically closed skew field”, Algebra Logika, 39:6 (2000), 662–692; Algebra and Logic, 39:6 (2000), 378–395
Citation in format AMSBIB
\Bibitem{Kol00}
\by P.~S.~Kolesnikov
\paper The Makar-Limanov algebraically closed skew field
\jour Algebra Logika
\yr 2000
\vol 39
\issue 6
\pages 662--692
\mathnet{http://mi.mathnet.ru/al247}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1819766}
\zmath{https://zbmath.org/?q=an:0993.16014}
\transl
\jour Algebra and Logic
\yr 2000
\vol 39
\issue 6
\pages 378--395
\crossref{https://doi.org/10.1023/A:1010270602485}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52849122782}
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    • This publication is cited in the following 9 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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