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

• Datum: 2017
• Hauptverfasser: Jamal, M. R., Mozumder, M. R., Ямал, М. Р., Мозамдер, М. Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1739
• Назва журналу: 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...