Let be a noncommutative prime ring with involution and let be the maximal symmetric ring of quotients of In the present paper, we describe the structure of generalized Jordan *-derivations, i.e., additive mappings satisfying for all where... more
Let be a noncommutative prime ring with involution and let be the maximal symmetric ring of quotients of In the present paper, we describe the structure of generalized Jordan *-derivations, i.e., additive mappings satisfying for all where d is an associated Jordan *-derivation of Precisely, we prove that under certain conditions any generalized Jordan *-derivation of is of the form for all where As a consequence, we show that any generalized Jordan *-derivation on a prime ring with involution is generalized X-inner, provided is not a PI-ring. Finally, we conclude our paper with a direction for further research.
