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.

Збережено в:
Бібліографічні деталі
Дата:2015
Автори: Artemovych, Orest D., Lukashenko, Maria P.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2015
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96
Теги: Додати тег
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Резюме: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.