Generalized derivations acting on multilinear polynomials as a Jordan homomorphisms

• Date: 2022
• Main Authors: Tiwari, S. K., Prajapati, B.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6108
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $R$ be a prime ring whose characteristic is not equal to $2,$ let  $U$ be the Utumi quotient ring of $R,$ and let $C$ be the extended centroid of $R.$  Also let $G$ and $H$ be two generalized derivations on $R$ and let $f(x_1,\ldots,x...