MULTIPLIERS AND REVERSE GENERALIZED (α, ∗)-n-DERIVATIONS ON PRIME RINGS
MULTIPLIERS AND REVERSE GENERALIZED (α, ∗)-n-DERIVATIONS
Resumen
While α is an automorphism of R and ∗ denotes involution of R,
the goal of the current study is to define the notion of reverse generalized (α, ∗)-
derivations on ring R. Using the roles of α and ∗, we derive certain commutativity
theorems in the case of prime rings. The proofs of the theorems in the situation of a
non-commutative prime ring and the conditions under which a reverse generalized
(α, ∗)-derivation acts as a α-multiplier will also be covered. Appropriate examples
are provided to support the proposed idea.
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