Geodesic
On the Skew Lie Product and Derivations of Prime Rings with Involution
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 183-194

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Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − ba∗. The purpose of this paper is to study the commutativity of a prime ring which satisfies the various ∗-differential identities involving skew Lie product. Finally, we provide two examples to prove that the assumed restrictions on some of our results are not superfluous.
Keywords: prime ring, skew Lie product, derivation, involution 
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Mozumder, Muzibur Rahman; Dar, Nadeem Ahmad; Khan, Mohammad Salahuddin; Abbasi, Adnan. On the Skew Lie Product and Derivations of Prime Rings with Involution. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 183-194. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_1_a14/