Jordan homoderivation behavior of generalized derivations in prime rings

• Дата: 2023
• Автори: Bera, Nripendu, Dhara, Basudeb
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2023
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/7241
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Suppose that $R$ is a prime ring with ${\rm char}(R)\neq 2$ and $f(\xi_1,\ldots,\xi_n)$ is a noncentral multilinear polynomial over $C( = Z(U)),$ where $U$ is the Utumi quotient ring of $R.$ An additive mapping $h\colon R\rightarrow R$ is called homoderivation if $h(ab) = h(a)...