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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 1, Pages 65–106 (Mi fpm1390)  

This article is cited in 48 scientific papers (total in 48 papers)

Algebraic geometry over algebraic structures. II. Foundations

E. Yu. Daniyarovaa, A. G. Myasnikovb, V. N. Remeslennikova

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Science
b Stevens Institute of Technology, USA
References:
Abstract: In this paper, we introduce elements of algebraic geometry over an arbitrary algebraic structure. We prove so-called unification theorems which describe coordinate algebras of algebraic sets in several different ways.
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 3, Pages 389–416
DOI: https://doi.org/10.1007/s10958-012-0923-z
Bibliographic databases:
Document Type: Article
UDC: 512.57+512.7
Language: Russian
Citation: E. Yu. Daniyarova, A. G. Myasnikov, V. N. Remeslennikov, “Algebraic geometry over algebraic structures. II. Foundations”, Fundam. Prikl. Mat., 17:1 (2012), 65–106; J. Math. Sci., 185:3 (2012), 389–416
Citation in format AMSBIB
\Bibitem{DanMyaRem12}
\by E.~Yu.~Daniyarova, A.~G.~Myasnikov, V.~N.~Remeslennikov
\paper Algebraic geometry over algebraic structures.~II. Foundations
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 1
\pages 65--106
\mathnet{http://mi.mathnet.ru/fpm1390}
\transl
\jour J. Math. Sci.
\yr 2012
\vol 185
\issue 3
\pages 389--416
\crossref{https://doi.org/10.1007/s10958-012-0923-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866314545}
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  • https://www.mathnet.ru/eng/fpm1390
  • https://www.mathnet.ru/eng/fpm/v17/i1/p65
    Cycle of papers
    This publication is cited in the following 48 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Фундаментальная и прикладная математика
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    Full-text PDF :341
    References:97
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