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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 1, Pages 45–55 (Mi fpm1487)  
This article is cited in 3 scientific papers (total in 3 papers)

Elementary equivalence of linear groups over rings with a finite number of central idempotents and over Boolean rings

V. A. Bragin, E. I. Bunina

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (137 kB) Citations (3)
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Abstract: In the present paper, we start with a criterion of elementary equivalence of linear groups over rings with just a finite number of central idempotents. Then we study elementary equivalence of linear groups over Boolean algebras. We prove that two linear groups over Boolean algebras are elementarily equivalent if and only if their dimensions coincide and these Boolean algebras are elementarily equivalent.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 201, Issue 4, Pages 438–445
DOI: https://doi.org/10.1007/s10958-014-2003-z
Bibliographic databases:
Document Type: Article
UDC: 510.67+512.54
Language: Russian
Citation: V. A. Bragin, E. I. Bunina, “Elementary equivalence of linear groups over rings with a finite number of central idempotents and over Boolean rings”, Fundam. Prikl. Mat., 18:1 (2013), 45–55; J. Math. Sci., 201:4 (2014), 438–445
Citation in format AMSBIB
\Bibitem{BraBun13}
\by V.~A.~Bragin, E.~I.~Bunina
\paper Elementary equivalence of linear groups over rings with a~finite number of central idempotents and over Boolean rings
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 1
\pages 45--55
\mathnet{http://mi.mathnet.ru/fpm1487}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431763}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 201
\issue 4
\pages 438--445
\crossref{https://doi.org/10.1007/s10958-014-2003-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906074525}
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  • https://www.mathnet.ru/eng/fpm/v18/i1/p45
    • This publication is cited in the following 3 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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    References:47
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