Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 2, Pages 25–30 (Mi vmumm305)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Rings of quotients for rings with big center

D. V. Zlydnev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (244 kB) Citations (3)
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Abstract: Ђ ring $R$ is called IIC-ring if any nonzero ideal of $R$ has nonzero intersection with the center of $R$. We consider certain results about rings of quotients of semiprime IIC-rings and show by examples that these properties are not conserved in the case of arbitrary IIC-rings. We prove more general properties of IIC-rings which concern its rings of quotients.
Key words: center of ring, IIC-ring, right-bounded ring, full ring of quotients, symmetric ring of quotients.
Received: 05.12.2012
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 2, Pages 67–72
DOI: https://doi.org/10.3103/S0027132214020041
Bibliographic databases:
Document Type: Article
UDC: 512.552.3+512.552.51
Language: Russian
Citation: D. V. Zlydnev, “Rings of quotients for rings with big center”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2, 25–30; Moscow University Mathematics Bulletin, 69:2 (2014), 67–72
Citation in format AMSBIB
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\by D.~V.~Zlydnev
\paper Rings of quotients for rings with big center
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 2
\pages 25--30
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 2
\pages 67--72
\crossref{https://doi.org/10.3103/S0027132214020041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899884854}
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