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Diskr. Mat., 2018, Volume 30, Issue 2, Pages 55–61 (Mi dm1486)  

This article is cited in 1 scientific paper (total in 1 paper)

Centrally essential rings

V. T. Markova, A. A. Tuganbaevba

a Lomonosov Moscow State University
b National Research University "Moscow Power Engineering Institute"

Abstract: A centrally essential ring is a ring which is an essential extension of its center (we consider the ring as a module over its center). We give several examples of noncommutative centrally essential rings and describe some properties of centrally essential rings.

Keywords: centrally essential ring, center of the ring, semiprime ring, semiperfect ring.

Funding Agency Grant Number
Russian Foundation for Basic Research 17-01-00895-A
Russian Science Foundation 16-11-10013


DOI: https://doi.org/10.4213/dm1486

Full text: PDF file (403 kB)
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English version:
Discrete Mathematics and Applications, 2019, 29:3, 189–194

Bibliographic databases:

UDC: 512.55
Received: 27.11.2017

Citation: V. T. Markov, A. A. Tuganbaev, “Centrally essential rings”, Diskr. Mat., 30:2 (2018), 55–61; Discrete Math. Appl., 29:3 (2019), 189–194

Citation in format AMSBIB
\Bibitem{MarTug18}
\by V.~T.~Markov, A.~A.~Tuganbaev
\paper Centrally essential rings
\jour Diskr. Mat.
\yr 2018
\vol 30
\issue 2
\pages 55--61
\mathnet{http://mi.mathnet.ru/dm1486}
\crossref{https://doi.org/10.4213/dm1486}
\elib{http://elibrary.ru/item.asp?id=34940589}
\transl
\jour Discrete Math. Appl.
\yr 2019
\vol 29
\issue 3
\pages 189--194
\crossref{https://doi.org/10.1515/dma-2019-0017}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000471785800004}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068194163}


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  • https://doi.org/10.4213/dm1486
  • http://mi.mathnet.ru/eng/dm/v30/i2/p55

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. T. Markov, A. A. Tuganbaev, “Centrally essential rings which are not necessarily unital or associative”, Discrete Math. Appl., 29:4 (2019), 215–218  mathnet  crossref  crossref  isi  elib
  • Дискретная математика
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