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...
| Główni autorzy: | , , , |
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| Format: | Artykuł |
| Język: | English |
| Wydane: |
Hindawi Limited
2024-01-01
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| Seria: | Journal of Mathematics |
| Dostęp online: | http://dx.doi.org/10.1155/2024/6550025 |
| Streszczenie: | 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. |
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| ISSN: | 2314-4785 |