On *-semiderivations and *-generalized semiderivations

摘要

The aim of this paper is to give a complete description of *-mappings. Indeed, we define and study a more general class of semiderivations (respectively generalized semiderivations), that we call *-semiderivations (respectively *-generalized semiderivations). In particular, we prove that for the prime rings with involution, these new definitions coincide with the classical definitions of semiderivations and generalized semiderivations, respectively.