Generalized derivations and commuting additive maps on multilinear polynomials in prime rings

• Date: 2016
• Main Authors: De, Filippis V., Dhara, B., Scudo, G., Де, Філіппіс В., Дхара, B., Сцудо, Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1833
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a prime ring with characteristic different from $2, U$ be its right Utumi quotient ring, $C$ be its extended centroid, $F$ and $G$ be additive maps on $R$ , $f(x_1, ..., x_n)$ be a multilinear polynomial over $C$, and $I$ be a nonzero right ideal of $R$ . We obtain information about the...