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Algebra i logika, 2005, Volume 44, Number 3, Pages 269–304 (Mi al112)  
This article is cited in 13 scientific papers (total in 13 papers)

Bounded Algebraic Geometry over a Free Lie Algebra

E. Yu. Daniyarova, V. N. Remeslennikov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
Full-text PDF (320 kB) Citations (13)
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Abstract: Bounded algebraic sets over a free Lie algebra $F$ over a field $k$ are classified in three equivalent languages: (1) in terms of algebraic sets; (2) in terms of radicals of algebraic sets; (3) in terms of coordinate algebras of algebraic sets.
Keywords: arithmetic hierarchy, Rogers semilattice, elementary theory.
Received: 20.04.2004
Revised: 06.12.2004
English version:
Algebra and Logic, 2005, Volume 44, Issue 3, Pages 148–167
DOI: https://doi.org/10.1007/s10469-005-0017-9
Bibliographic databases:
UDC: 512.55+512.7
Language: Russian
Citation: E. Yu. Daniyarova, V. N. Remeslennikov, “Bounded Algebraic Geometry over a Free Lie Algebra”, Algebra Logika, 44:3 (2005), 269–304; Algebra and Logic, 44:3 (2005), 148–167
Citation in format AMSBIB
\Bibitem{DanRem05}
\by E.~Yu.~Daniyarova, V.~N.~Remeslennikov
\paper Bounded Algebraic Geometry over a~Free Lie~Algebra
\jour Algebra Logika
\yr 2005
\vol 44
\issue 3
\pages 269--304
\mathnet{http://mi.mathnet.ru/al112}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170688}
\zmath{https://zbmath.org/?q=an:1150.17009}
\transl
\jour Algebra and Logic
\yr 2005
\vol 44
\issue 3
\pages 148--167
\crossref{https://doi.org/10.1007/s10469-005-0017-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-22444433900}
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    • This publication is cited in the following 13 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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    References:80
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