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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/6550025 |
| _version_ | 1827010040642404352 |
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| author | Amal S. Alali Shakir Ali Naira N. Rafiquee Vaishali Varshney |
| author_facet | Amal S. Alali Shakir Ali Naira N. Rafiquee Vaishali Varshney |
| author_sort | Amal S. Alali |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T00:24:34Z |
| format | Article |
| id | doaj.art-1fe74b8b4f1441b4a82ab46f992932f3 |
| institution | Directory Open Access Journal |
| issn | 2314-4785 |
| language | English |
| last_indexed | 2025-02-18T12:59:54Z |
| publishDate | 2024-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj.art-1fe74b8b4f1441b4a82ab46f992932f32024-11-02T03:56:08ZengHindawi LimitedJournal of Mathematics2314-47852024-01-01202410.1155/2024/6550025Higher Derivations Satisfying Certain Identities in RingsAmal S. Alali0Shakir Ali1Naira N. Rafiquee2Vaishali Varshney3Department of Mathematical SciencesDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsLet 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.http://dx.doi.org/10.1155/2024/6550025 |
| spellingShingle | Amal S. Alali Shakir Ali Naira N. Rafiquee Vaishali Varshney Higher Derivations Satisfying Certain Identities in Rings Journal of Mathematics |
| title | Higher Derivations Satisfying Certain Identities in Rings |
| title_full | Higher Derivations Satisfying Certain Identities in Rings |
| title_fullStr | Higher Derivations Satisfying Certain Identities in Rings |
| title_full_unstemmed | Higher Derivations Satisfying Certain Identities in Rings |
| title_short | Higher Derivations Satisfying Certain Identities in Rings |
| title_sort | higher derivations satisfying certain identities in rings |
| url | http://dx.doi.org/10.1155/2024/6550025 |
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