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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 2, Pages 21–23 (Mi fpm1575)  
This article is cited in 3 scientific papers (total in 4 papers)

A remark on commutative arithmetic rings

E. S. Golod

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (56 kB) Citations (4)
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Abstract: It is proved that a commutative ring with identity $R$ is arithmetic (i.e., the ideal lattice of $R$ is distributive) if and only if for any finitely generated (or any finitely presented) $R$-module $M$ and any ideal $I$ of $R$ the equality $I+\operatorname{Ann}M=\operatorname{Ann}(M/IM)$ holds.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 213, Issue 2, Pages 143–144
DOI: https://doi.org/10.1007/s10958-016-2706-4
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: E. S. Golod, “A remark on commutative arithmetic rings”, Fundam. Prikl. Mat., 19:2 (2014), 21–23; J. Math. Sci., 213:2 (2016), 143–144
Citation in format AMSBIB
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\by E.~S.~Golod
\paper A~remark on commutative arithmetic rings
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 2
\pages 21--23
\mathnet{http://mi.mathnet.ru/fpm1575}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431913}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 213
\issue 2
\pages 143--144
\crossref{https://doi.org/10.1007/s10958-016-2706-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84954482372}
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  • https://www.mathnet.ru/eng/fpm/v19/i2/p21
    • 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
    		Фундаментальная и прикладная математика
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    References:62
     
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