فهرست نشریات علمی دسترسی آزاد ایران

In this paper, we introduce the notions of generalized $\ast$-derivations, generalized Jordan $\ast$-derivations and Jordan triple $\ast$-derivations with the associated Hochschild $\ast$-2-cocycles and then it is proved that if $\mathcal{R}$ is a prime $\ast$-ring and $f:\mathcal{R} \rightarrow \mathcal{R}$ is a nonzero generalized $\ast$-derivation with an associated Hochschild $\ast$-2-cocycle $\beta$, then $\mathcal{R}$ is commutative. Some other results regarding generalized Jordan $\ast$-derivations are also established.