Characterizations of additive $\xi$-Lie derivations on unital algebras

• Дата: 2021
• Автори: Ashraf, M., Jabeen, A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/838
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $\mathscr{R}$ be a commutative ring with unity and $\mathscr{U}$ be a unital algebra over $\mathscr{R}$ (or field $\mathbb{F}$).An $\mathscr{R}$-linear map $L:\mathscr{U}\rightarrow\mathscr{U}$ is called a Lie derivation on $\mathscr{U}$ if $L([u,v])=[L(u),v]+[u,L(v)]$ holds for all $u...