Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings
Derivation
Prime Ring
Reverse
Multiplicative (Generalized) (α
β) Reverse Derivation
Generalized Multiplicative (α
β) Reverse Derivation
Let be a prime ring, be a non-zero ideal of and be automorphism on. A mapping is called a multiplicative (generalized) reverse derivation if where is any map (not necessarily additive). In this paper, we proved the commutativity of a prime ring R admitting a multiplicative (generalized) reverse derivation satisfying any one of the properties:
for all x, y
