Tri-additive maps and local generalized $(α,β)$-derivations

• Date: 2017
• Main Authors: Jamal, M. R., Mozumder, M. R., Ямал, М. Р., Мозамдер, М. Р.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1739
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $R$ be a prime ring with nontrivial idempotents. We characterize a tri-additive map $f : R^3 \rightarrow R$ such that $f(x, y, z) = 0$ for all $x, y, z \in R$ with $xy = yz = 0$. As an application, we show that, in a prime ring with nontrivial idempotents, any local generalized $(\alpha , \bet...