Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings

Zahraa S. M.  Alhaidary; Abdulrahman H.  Majeed

doi:10.24996/ijs.2021.62.9.26

Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings

Authors

Zahraa S. M. Alhaidary Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq
Abdulrahman H. Majeed Department of Mathematic, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.9.26

Keywords:

Derivation, Prime Ring, Reverse, Multiplicative (Generalized) (α,β) Reverse Derivation, Generalized Multiplicative (α,β) Reverse Derivation

Abstract

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

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Published

2021-09-30

How to Cite

Alhaidary, Z. S. M. ., & Majeed, A. H. . (2021). Commutativity Results for Multiplicative (Generalized) (α,β) Reverse Derivations on Prime Rings. Iraqi Journal of Science, 62(9), 3102–3113. https://doi.org/10.24996/ijs.2021.62.9.26