Higher Derivations Satisfying Certain Identities in Rings

Let n and m be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations D=dii∈N satisfying (i) dnx,dmy∈ZR for all x,y∈R and (ii) dnx...

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Váldodahkkit: Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney
Materiálatiipa: Artihkal
Giella:English
Almmustuhtton: Hindawi Limited 2024-01-01
Ráidu:Journal of Mathematics
Liŋkkat:http://dx.doi.org/10.1155/2024/6550025