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/