Multilinear polynomial identities under the action of generalized skew derivations

• Date: 2026
• Main Authors: Gupta, Pallavee, Tiwari, S. K., Singh, Lovepreet
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9591
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.552 Suppose that $\mathcal{H}_1, \mathcal{H}_2$ and $\mathcal{H}_3$ are generalized skew derivations on prime ring $\mathcal{R}$ with ${\rm char}(\mathcal{R})\neq 2$ such that $\mathcal{H}_1\big(\mathcal{H}_2(\pi(q))\pi(q)\big)=\mathcal{H}_3(\pi(q)^2)$ for all $q=(q_1,\ldots,q_n) \in \mathca...