Higher Derivations Satisfying Certain Identities in Rings

Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney and Faranak Farshadifar

Journal of Mathematics, 2024, vol. 2024, 1-6

Abstract: 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,y∈ZR for all x,y∈R.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6550025

DOI: 10.1155/2024/6550025

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