Geodesic
On Generalized Derivations and Commutativity of Associative Rings
Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 49-62

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Let ℛ be a ring with center Z(ℛ). A mapping f : ℛ→ℛ is said to be strong commutativity preserving (SCP) on ℛ if [f (x), f (y)] = [x, y] and is said to be strong anti-commutativity preserving (SACP) on ℛ if f (x) ∘ f (y) = x ∘ y for all x, y ∈ℛ. In the present paper, we apply the standard theory of differential identities to characterize SCP and SACP derivations of prime and semiprime rings.
Keywords: generalized derivations, (semi)prime rings, generalized polynomial identities, Martindale ring of quotients 
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Sandhu, Gurninder S.; Kumar, Deepak; Davvaz, Bijan. On Generalized Derivations and Commutativity of Associative Rings. Discussiones Mathematicae. General Algebra and Applications, Tome 40 (2020) no. 1, pp. 49-62. http://geodesic.mathdoc.fr/item/DMGAA_2020_40_1_a4/