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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| Date: | 2015 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2015
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| Subjects: | |
| 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| _version_ | 1856543077762596865 |
|---|---|
| author | Artemovych, Orest D. Lukashenko, Maria P. |
| author_facet | Artemovych, Orest D. Lukashenko, Maria P. |
| author_sort | Artemovych, Orest D. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2015-11-10T19:25:54Z |
| 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. |
| first_indexed | 2025-12-02T15:50:31Z |
| format | Article |
| id | admjournalluguniveduua-article-96 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:50:31Z |
| publishDate | 2015 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| 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 |
| 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 |
| title | 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_short | Lie and Jordan structures of differentially semiprime rings |
| title_sort | lie and jordan structures of differentially semiprime rings |
| topic | Derivation semiprime ring Lie ring Primary 16W25 16N60; Secondary 17B60 17C50 |
| topic_facet | Derivation semiprime ring Lie ring Primary 16W25 16N60; Secondary 17B60 17C50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/96 |
| work_keys_str_mv | AT artemovychorestd lieandjordanstructuresofdifferentiallysemiprimerings AT lukashenkomariap lieandjordanstructuresofdifferentiallysemiprimerings |