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2021•Iraqi Journal of ScienceOpen access

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

Zahraa S. M. Alhaidary, Abdul-Rahman Hameed Majeed

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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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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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Available 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

Key concepts: Automorphism, Multiplicative function, Mathematics, Prime (order theory), Ring (chemistry), Ideal (ethics), Prime ring, Commutative property

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