Lie and Jordan structures of differentially semiprime rings

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.

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Bibliographic Details
Date:2015
Main Authors: Artemovych, Orest D., Lukashenko, Maria P.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2015
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary: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.