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Algebra and Discrete Mathematics, 2015, Volume 20, Issue 1, Pages 13–31 (Mi adm528)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

Lie and Jordan structures of differentially semiprime rings

Orest D. Artemovycha, Maria P. Lukashenkob

a Institute of Mathematics, Tadeusz Kościuszko Cracow University of Technology
b Faculty of Mathematics and Informatics, Vasyl Stefanyk Precarpathian National University
Full-text PDF (344 kB) Citations (3)
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Abstract: Properties of Lie and Jordan rings (denoted respectively by $R^L$ and $R^J$) associated with an associative ring $R$ are discussed. Results on connections between the differentially simplicity (respectively primeness, semiprimeness) of $R$, $R^L$ and $R^J$ are obtained.
Keywords: derivation, semiprime ring, Lie ring.
Received: 22.01.2015
Revised: 22.03.2015
Bibliographic databases:
Document Type: Article
MSC: Primary 16W25, 16N60; Secondary 17B60, 17C50
Language: English
Citation: Orest D. Artemovych, Maria P. Lukashenko, “Lie and Jordan structures of differentially semiprime rings”, Algebra Discrete Math., 20:1 (2015), 13–31
Citation in format AMSBIB
\Bibitem{ArtLuk15}
\by Orest~D.~Artemovych, Maria~P.~Lukashenko
\paper Lie and Jordan structures of differentially semiprime rings
\jour Algebra Discrete Math.
\yr 2015
\vol 20
\issue 1
\pages 13--31
\mathnet{http://mi.mathnet.ru/adm528}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431948}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000378728700003}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
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