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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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
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id admjournalluguniveduua-article-96
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spelling admjournalluguniveduua-article-962015-11-10T19:25:54Z Lie and Jordan structures of differentially semiprime rings Artemovych, Orest D. Lukashenko, Maria P. Derivation, semiprime ring, Lie ring Primary 16W25, 16N60; Secondary 17B60, 17C50 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. Lugansk National Taras Shevchenko University 2015-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96 Algebra and Discrete Mathematics; Vol 20, No 1 (2015): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96/26 Copyright (c) 2015 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2015-11-10T19:25:54Z
collection OJS
language English
topic Derivation
semiprime ring
Lie ring
Primary 16W25
16N60; Secondary 17B60
17C50
spellingShingle Derivation
semiprime ring
Lie ring
Primary 16W25
16N60; Secondary 17B60
17C50
Artemovych, Orest D.
Lukashenko, Maria P.
Lie and Jordan structures of differentially semiprime rings
topic_facet Derivation
semiprime ring
Lie ring
Primary 16W25
16N60; Secondary 17B60
17C50
format Article
author Artemovych, Orest D.
Lukashenko, Maria P.
author_facet Artemovych, Orest D.
Lukashenko, Maria P.
author_sort Artemovych, Orest D.
title Lie and Jordan structures of differentially semiprime rings
title_short Lie and Jordan structures of differentially semiprime rings
title_full Lie and Jordan structures of differentially semiprime rings
title_fullStr Lie and Jordan structures of differentially semiprime rings
title_full_unstemmed Lie and Jordan structures of differentially semiprime rings
title_sort lie and jordan structures of differentially semiprime rings
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2015
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96
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