MULTIPLIERS AND REVERSE GENERALIZED (α, ∗)-n-DERIVATIONS ON PRIME RINGS

Faiza Shujat; Salwa Alharbi; Abu Zaid Ansari

doi:10.5269/bspm.78792

Faiza Shujat Department of MathematicsTaibah UniversityMadinahKSA
Salwa Alharbi Taibah University, Madinah
Abu Zaid Ansari Islamic University of Madinah, Madinah KSA

Abstract

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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Author Biographies

Faiza Shujat, Department of MathematicsTaibah UniversityMadinahKSA

Assistant Professor

Department of Mathematics

Salwa Alharbi, Taibah University, Madinah

Master student

Abu Zaid Ansari, Islamic University of Madinah, Madinah KSA

Associate Professor

Department of Mathematics

Faculty of Science

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