Actions of generalized derivations on prime ideals in $*$-rings with applications

In this paper, we make use of generalized derivations to scrutinize the deportment prime ideal satisfying certain algebraic $*$-identities in rings with involution. specific cases, structure quotient ring $\mathscr{R}/\mathscr{P}$ will be resolved, where $\mathscr{R}$ is an arbitrary and $\mathscr{P}$ a also find behaviour associated involving ideals. Finally, conclude our paper applications previous section's results.