On generalized derivations satisfying certain identities

• Дата: 2011
• Автори: Albaş, E., Албас, Е.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2745
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a prime ring with char $R \neq 2$ and $d$ be a generalized derivation on $R$. The goal of this study is to investigate the generalized derivation $d$ satisfying any one of the following identities: $$(i) \quad d[(x, y)] = [d(x), d(y)] \quad \text{for all} x, y \in R;$$ $$(ii) \quad d[(x,...