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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 4, Pages 141–144 (Mi fpm1425)  
Associative rings with large center

D. V. Zlydnev

M. V. Lomonosov Moscow State University
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Abstract: A ring $R$ is called a ring with large center if any nonzero ideal of $R$ has nonzero intersection with the center of $R$. We give some conditions for an ideal of a ring with large center to be itself a ring with large center, and also we provide an example of a ring with large center $R$ and its ideal $I\lhd R$ such that $I$ is not a ring with large center.
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 5, Pages 691–693
DOI: https://doi.org/10.1007/s10958-013-1352-3
Bibliographic databases:
Document Type: Article
UDC: 512.552.3+512.552.4
Language: Russian
Citation: D. V. Zlydnev, “Associative rings with large center”, Fundam. Prikl. Mat., 17:4 (2012), 141–144; J. Math. Sci., 191:5 (2013), 691–693
Citation in format AMSBIB
\Bibitem{Zly12}
\by D.~V.~Zlydnev
\paper Associative rings with large center
\jour Fundam. Prikl. Mat.
\yr 2012
\vol 17
\issue 4
\pages 141--144
\mathnet{http://mi.mathnet.ru/fpm1425}
\transl
\jour J. Math. Sci.
\yr 2013
\vol 191
\issue 5
\pages 691--693
\crossref{https://doi.org/10.1007/s10958-013-1352-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884989363}
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