On the Lie ring of derivations of a semiprime ring
We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1053 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543128681447424 |
|---|---|
| author | Artemovych, Orest D. Kular, Kamil |
| author_facet | Artemovych, Orest D. Kular, Kamil |
| author_sort | Artemovych, Orest D. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:40:33Z |
| description | We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent. |
| first_indexed | 2026-02-08T07:57:33Z |
| format | Article |
| id | admjournalluguniveduua-article-1053 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:33Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10532018-04-26T02:40:33Z On the Lie ring of derivations of a semiprime ring Artemovych, Orest D. Kular, Kamil Semiprime ring, nilpotent Lie ring, derivation Primary 16W10; Secondary 16N60, 16W25 We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1053 Algebra and Discrete Mathematics; Vol 18, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1053/575 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | Semiprime ring nilpotent Lie ring derivation Primary 16W10; Secondary 16N60 16W25 Artemovych, Orest D. Kular, Kamil On the Lie ring of derivations of a semiprime ring |
| title | On the Lie ring of derivations of a semiprime ring |
| title_full | On the Lie ring of derivations of a semiprime ring |
| title_fullStr | On the Lie ring of derivations of a semiprime ring |
| title_full_unstemmed | On the Lie ring of derivations of a semiprime ring |
| title_short | On the Lie ring of derivations of a semiprime ring |
| title_sort | on the lie ring of derivations of a semiprime ring |
| topic | Semiprime ring nilpotent Lie ring derivation Primary 16W10; Secondary 16N60 16W25 |
| topic_facet | Semiprime ring nilpotent Lie ring derivation Primary 16W10; Secondary 16N60 16W25 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1053 |
| work_keys_str_mv | AT artemovychorestd onthelieringofderivationsofasemiprimering AT kularkamil onthelieringofderivationsofasemiprimering |