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.

Збережено в:
Бібліографічні деталі
Дата:2018
Автори: Artemovych, Orest D., Kular, Kamil
Формат: Стаття
Мова:Англійська
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1053
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Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
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author Artemovych, Orest D.
Kular, Kamil
author_facet Artemovych, Orest D.
Kular, Kamil
author_sort Artemovych, Orest D.
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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.
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institution Algebra and Discrete Mathematics
language English
last_indexed 2026-02-08T07:57:33Z
publishDate 2018
publisher Lugansk National Taras Shevchenko University
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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