Lie and Jordan structures of differentially semiprime rings

• Date: 2015
• Main Authors: Artemovych, Orest D., Lukashenko, Maria P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2015
• Subjects: Derivation; semiprime ring; Lie ring; Primary 16W25; 16N60; Secondary 17B60; 17C50
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96
• Journal Title: Algebra and Discrete Mathematics

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.