TY - JOUR
TI - Multiplicative (Generalized) Reverse Derivations on Semiprime Ring
PY - 2018/07/31
Y2 - 2024/05/27
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 11
IS - 3
LA - en
DO - 10.29020/nybg.ejpam.v11i3.3248
UR - https://doi.org/10.29020/nybg.ejpam.v11i3.3248
SP - 717-729
AB - Let R be a semiprime ring. A mapping F : RÂ â†’Â R (not necessarily additive) is called a multiplicative (generalized) reverse derivation if there exists a mapÂ Â d : RÂ â†’ R (not necessarily a derivation nor an additive map) such that F(xy) = F(y)x + yd(x) for all x, yÂ Ñ” R. In this paper we investigate some identities involving multiplicative (generalized) reverse derivation and prove some theorems in which we characterize these mappings.
ER -