On symmetric bi-derivations acting upon prime ideals in any rings

• Date: 2026
• Main Authors: Sögütcü, Emine Koç, Gölbaşı, Öznur, Dhara, Basudeb
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9223
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $R$ be a ring, $P$ be a prime ideal of $R$, $I$ be a nonzero ideal of $R$ such that $P\subsetneq I$, $D_{1},  D_{2}, D_{3}\colon R\times R\rightarrow R$ be symmetric bi-derivations, and $d_{1},\ d_{2},$ and $d_{3}$ be the traces of $D_{1},D_{2},$ and $D_{3}$ respectively. We study the...