Jordan homoderivation behavior of generalized derivations in prime rings

• Date: 2023
• Main Authors: Bera, Nripendu, Dhara, Basudeb
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7241
• Journal Title: 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)...