Geodesic
Some Remarks on Differential Identities in Rings
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 259

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $1$ and $m,k\in \mathbb{Z}^+$. In this manuscript, we analyse the action of (semi)-prime rings satisfying certain differential identities on some suitable subset of rings. To be more specific, we discuss the behaviour of the semiprime ring $\mathcal{R}$ satisfying the differential identities $([d([s,t]_m),[s,t]_m])^k=[d([s,t]_m),[s,t]_m]$ for every $s,t\in \mathcal{R}$.
Classification : 16W25 16N60, 16U80
Keywords: (semi)-prime ring, derivation, Engel polynomial, maximal right ring of quotients, generalized polynomial identity (GPI) 
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     author = {Mohd Arif Raza and Husain Alhazmi and Shakir Ali},
     title = {Some {Remarks} on {Differential} {Identities} in {Rings}},
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Mohd Arif Raza; Husain Alhazmi; Shakir Ali. Some Remarks on Differential Identities in Rings. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 2, p. 259 . http://geodesic.mathdoc.fr/item/KJM_2021_45_2_a7/