Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214120230101On generalized Jordan $\ast$-derivations with associated Hochschild $\ast$-2-cocycles21552167667310.22075/ijnaa.2022.26668.3382ENJavad BakhtiSchool of Mathematics, University of Damghan, Damghan, IranGholamreza Abbaspour TabadkanSchool of Mathematics, University of Damghan, Damghan, IranAmin HosseiniDepartment of Mathematics, Kashmar Higher Education Institute, Kashmar, IranJournal Article20220320In 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.https://ijnaa.semnan.ac.ir/article_6673_5170b1ac1d64b0b9a4c1324fe612b2c9.pdf