On the action of derivations on nilpotent ideals of associative algebras

• Дата: 2009
• Автори: Luchko, V. S., Лучко, В. С.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2009
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3075
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let I be a nilpotent ideal of an associative algebra A over a field F and let D be a derivation of A. We prove that the ideal I + D(I) is nilpotent if char F = 0 or the nilpotency index I is less than char F = p in the case of the positive characteristic of the field F. In particular, the sum N(A) o...