On one-sided Lie nilpotent ideals of associative rings
We prove that a Lie nilpotent one-sided ideal of an associative ring R is contained in a Lie solvable two-sided ideal of R. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of Lie nilpotency of the Lie nilpotent one-sided ideal of R. One-sided Lie nilpote...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152385 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On one-sided Lie nilpotent ideals of associative rings / V.S. Luchko, A.P. Petravchuk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 102–107. — Бібліогр.: 7 назв. — англ. |
Репозиторії
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irk-123456789-152385 |
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irk-123456789-1523852019-06-11T01:25:32Z On one-sided Lie nilpotent ideals of associative rings Luchko, V.S. Petravchuk, A.P. We prove that a Lie nilpotent one-sided ideal of an associative ring R is contained in a Lie solvable two-sided ideal of R. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of Lie nilpotency of the Lie nilpotent one-sided ideal of R. One-sided Lie nilpotent ideals contained in ideals generated by commutators of the form […[[r₁,r₂],…],rn₋₁],rn] are also studied.. 2007 Article On one-sided Lie nilpotent ideals of associative rings / V.S. Luchko, A.P. Petravchuk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 102–107. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:16D70. http://dspace.nbuv.gov.ua/handle/123456789/152385 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We prove that a Lie nilpotent one-sided ideal of an associative ring R is contained in a Lie solvable two-sided ideal of R. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of Lie nilpotency of the Lie nilpotent one-sided ideal of R. One-sided Lie nilpotent ideals contained in ideals generated by commutators of the form […[[r₁,r₂],…],rn₋₁],rn] are also studied.. |
| format |
Article |
| author |
Luchko, V.S. Petravchuk, A.P. |
| spellingShingle |
Luchko, V.S. Petravchuk, A.P. On one-sided Lie nilpotent ideals of associative rings Algebra and Discrete Mathematics |
| author_facet |
Luchko, V.S. Petravchuk, A.P. |
| author_sort |
Luchko, V.S. |
| title |
On one-sided Lie nilpotent ideals of associative rings |
| title_short |
On one-sided Lie nilpotent ideals of associative rings |
| title_full |
On one-sided Lie nilpotent ideals of associative rings |
| title_fullStr |
On one-sided Lie nilpotent ideals of associative rings |
| title_full_unstemmed |
On one-sided Lie nilpotent ideals of associative rings |
| title_sort |
on one-sided lie nilpotent ideals of associative rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152385 |
| citation_txt |
On one-sided Lie nilpotent ideals of associative rings / V.S. Luchko, A.P. Petravchuk // Algebra and Discrete Mathematics. — 2007. — Vol. 6, № 4. — С. 102–107. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
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2023-05-20T17:38:13Z |
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2023-05-20T17:38:13Z |
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1796153744284450816 |