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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2007 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862543840821379072 |
|---|---|
| author | Luchko, V.S. Petravchuk, A.P. |
| author_facet | Luchko, V.S. Petravchuk, A.P. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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..
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| first_indexed | 2025-11-24T21:46:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152385 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T21:46:25Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Luchko, V.S. Petravchuk, A.P. 2019-06-10T17:27:32Z 2019-06-10T17:27:32Z 2007 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. https://nasplib.isofts.kiev.ua/handle/123456789/152385 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.. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On one-sided Lie nilpotent ideals of associative rings Article published earlier |
| spellingShingle | On one-sided Lie nilpotent ideals of associative rings Luchko, V.S. Petravchuk, A.P. |
| title | 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_short | On one-sided Lie nilpotent ideals of associative rings |
| title_sort | on one-sided lie nilpotent ideals of associative rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152385 |
| work_keys_str_mv | AT luchkovs ononesidedlienilpotentidealsofassociativerings AT petravchukap ononesidedlienilpotentidealsofassociativerings |