Dokuz Eylül Üniversitesi Matematik Bölümü Seminerleri
Derivations in Prime Rings
M. Pınar Eroğlu
DEÜ, Türkiye
Let $R$ be a prime ring with extended centroid $C$ and $Q$ its maximal right ring of quotients.
By a derivation of $R$, we mean an additive map $d$ from $R$
into itself satisfying the rule $d(xy) = d(x)y + xd(y)$ for all $x, y \in R$.
In this work, our aim is to determine the structure of the derivations of prime rings under some certain conditions.
