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Fundamentalnaya i Prikladnaya Matematika, 2004, Volume 10, Issue 2, Pages 51–134 (Mi fpm765)  

This article is cited in 11 scientific papers (total in 11 papers)

Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules

E. I. Bunina, A. V. Mikhalev

M. V. Lomonosov Moscow State University
References:
Abstract: In this paper we give a small review of some recent results of elementary equivalence of linear and algebraic groups and our last new results of elementary equivalence of categories of modules, endomorphism rings of modules, lattices of submodules of modules, and automorphism groups of modules.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 6, Pages 5275–5335
DOI: https://doi.org/10.1007/s10958-006-0297-1
Bibliographic databases:
UDC: 510.67+512.55+512.58
Language: Russian
Citation: E. I. Bunina, A. V. Mikhalev, “Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules”, Fundam. Prikl. Mat., 10:2 (2004), 51–134; J. Math. Sci., 137:6 (2006), 5275–5335
Citation in format AMSBIB
\Bibitem{BunMik04}
\by E.~I.~Bunina, A.~V.~Mikhalev
\paper Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules
\jour Fundam. Prikl. Mat.
\yr 2004
\vol 10
\issue 2
\pages 51--134
\mathnet{http://mi.mathnet.ru/fpm765}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2113045}
\zmath{https://zbmath.org/?q=an:1073.20045}
\elib{https://elibrary.ru/item.asp?id=9068304}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 137
\issue 6
\pages 5275--5335
\crossref{https://doi.org/10.1007/s10958-006-0297-1}
\elib{https://elibrary.ru/item.asp?id=14220996}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747111702}
Linking options:
  • https://www.mathnet.ru/eng/fpm765
  • https://www.mathnet.ru/eng/fpm/v10/i2/p51
  • This publication is cited in the following 11 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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    Abstract page:618
    Full-text PDF :160
    References:60
    First page:1
     
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