On generalized derivations involving prime ideals with involution

• Date: 2023
• Main Authors: Rehman, Nadeem ur, Alnoghashi, Hafedh M., Hongan, Motoshi
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7064
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 We study the structure of the quotient ${A}/{P}$, where ${A}$ is any ring with involution $*$ and ${P}$ is a prime ideal of ${A}$. With an aim to construct  a ring with involution of this kind, we study the behavior of generalized derivations satisfying the algebraic identitie...