Lie and Jordan structures of differentially semiprime rings

Properties of Lie and Jordan rings (denoted respectively by RL and RJ) associated with an associative ring R are discussed. Results on connections between the differentially simplicity (respectively primeness, semiprimeness) of R, RL and RJ are obtained.

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Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2015
Main Authors: Artemovych, O.D., Lukashenko, M.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2015
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/154758
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Lie and Jordan structures of differentially semiprime rings / O.D. Artemovych, M.P. Lukashenko // Algebra and Discrete Mathematics. — 2015. — Vol. 20, № 1. — С. 13-31 . — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine