On one-sided Lie nilpotent ideals of associative rings

• Опубліковано в: : Algebra and Discrete Mathematics
• Дата: 2007
• Автори: Luchko, V.S., Petravchuk, A.P.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут прикладної математики і механіки НАН України 2007
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/152385
• 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.

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...