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Fundamentalnaya i Prikladnaya Matematika, 2008, Volume 14, Issue 4, Pages 227–229 (Mi fpm1136)  

This article is cited in 4 scientific papers (total in 4 papers)

Bezout modules and rings

A. A. Tuganbaev

Russian State University of Trade and Economics
Full-text PDF (66 kB) Citations (4)
Abstract: For any ring $A$, there exist a Bezout ring $R$ and an idempotent $e\in R$ with $A\cong eRe$. Every module over any ring is a direct summand of an endo-Bezout module. Over any ring, every free module of infinite rank is an endo-Bezout module.
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 163, Issue 5, Pages 596–597
DOI: https://doi.org/10.1007/s10958-009-9697-3
Bibliographic databases:
UDC: 512.552
Language: Russian
Citation: A. A. Tuganbaev, “Bezout modules and rings”, Fundam. Prikl. Mat., 14:4 (2008), 227–229; J. Math. Sci., 163:5 (2009), 596–597
Citation in format AMSBIB
\Bibitem{Tug08}
\by A.~A.~Tuganbaev
\paper Bezout modules and rings
\jour Fundam. Prikl. Mat.
\yr 2008
\vol 14
\issue 4
\pages 227--229
\mathnet{http://mi.mathnet.ru/fpm1136}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2482044}
\transl
\jour J. Math. Sci.
\yr 2009
\vol 163
\issue 5
\pages 596--597
\crossref{https://doi.org/10.1007/s10958-009-9697-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70649102941}
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  • https://www.mathnet.ru/eng/fpm/v14/i4/p227
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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