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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2014 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153325 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Lie ring of derivations of a semiprime ring / O.D. Artemovych, K. Kular // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 157–162. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862716251185348608 |
|---|---|
| author | Artemovych, O.D. Kular, K. |
| author_facet | Artemovych, O.D. Kular, K. |
| citation_txt | On the Lie ring of derivations of a semiprime ring / O.D. Artemovych, K. Kular // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 157–162. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent.
|
| first_indexed | 2025-12-07T18:03:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153325 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:03:10Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Artemovych, O.D. Kular, K. 2019-06-14T03:20:15Z 2019-06-14T03:20:15Z 2014 On the Lie ring of derivations of a semiprime ring / O.D. Artemovych, K. Kular // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 157–162. — Бібліогр.: 5 назв. — англ. 1726-3255 2010 MSC:Primary 16W10; Secondary 16N60, 16W25. https://nasplib.isofts.kiev.ua/handle/123456789/153325 We prove that the Lie ring of derivations of a semiprime ring is either trivial or non-nilpotent. The second-named author would like to express his gratitude to Marcin Skrzyński for inspiring suggestions. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On the Lie ring of derivations of a semiprime ring Article published earlier |
| spellingShingle | On the Lie ring of derivations of a semiprime ring Artemovych, O.D. Kular, K. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153325 |
| work_keys_str_mv | AT artemovychod onthelieringofderivationsofasemiprimering AT kulark onthelieringofderivationsofasemiprimering |