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...
| Hlavní autoři: | , , , |
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| Médium: | Článek |
| Jazyk: | English |
| Vydáno: |
Hindawi Limited
2024-01-01
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| Edice: | Journal of Mathematics |
| On-line přístup: | http://dx.doi.org/10.1155/2024/6550025 |