Skip to content
DraconiticResearch
Search Sources API
182,469 studies31 sourcesUpdated 51 min ago
Peer-reviewedCC BY 4.0Axioms

Commutativity Criteria and Structural Properties of Prime Near-Rings Admitting Right Generalized Derivations on Specific Ideals

  • Khaled Aldwoah1
  • Inzamam ul Huque2
  • Hafedh Alnoghashi3
  • Muntasir Suhail4
  • Amel Touati5
  • Radwan M. Al-omary6
6 affiliations
  1. 1Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah 42351, Saudi Arabia
  2. 2Department of Mathematics, University Institute of Science, Chandigarh University, Mohali 140413, Punjab, India
  3. 3Department of Basic Sciences, College of Engineering and IT, Amran University, Amran 9677, Yemen
  4. 4Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
  5. 5Department of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi Arabia
  6. 6Department of Mathematics, Ibb University, Ibb 70270, Yemen
Open at sourceDOICite

Abstract

In the setting of nonzero semigroup ideals, Jordan ideals, and Lie ideals of prime near-rings (under 2-torsion-free and 3-torsion-free conditions), this study investigates the structure of a prime near-ring that admits a right generalized derivation K associated with a derivation σ. Some of the obtained results generalize earlier works under comparable assumptions on the whole near-ring. In addition, examples are provided to illustrate why the hypotheses of the results are necessary.

Related

  1. Generalized Mock-Poisson Algebras: Constructions and Structural Properties
    Zafar Normatov
    arXivPreprintCC0Full textAlgebra & number theoryarXiv
  2. A characterization of generalized derivations and biderivations on some simple algebras
    Hassan Oubba
    arXivPreprintCC BY-NC-ND 4.0Full textAlgebra & number theoryarXiv
  3. On Representations of GLn(D) admitting a generalized linear period
    Prem Dagar, Hariom Sharma
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Norms of generalized derivations with values in symmetric spaces
    J. Huang, M. Pliev, F. Sukochev +1
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  5. Generalized Derivations and Canonical Envelopes of Complex α2-Weighted Ω-Hom-Lie Superalgebras
    Muntasir Suhail, Osman Abdalla Adam Osman, Mohammed Rabih
    MathematicsPeer-reviewedCC BY 4.0Algebra & number theoryCrossref

Cite

BibTeXRIS
BibTeX
@article{aldwoah2026commutativity,
  title = {{Commutativity Criteria and Structural Properties of Prime Near-Rings Admitting Right Generalized Derivations on Specific Ideals}},
  author = {Khaled Aldwoah and Inzamam ul Huque and Hafedh Alnoghashi and Muntasir Suhail and Amel Touati and Radwan M. Al-omary},
  journal = {Axioms},
  year = {2026},
  month = oct,
  doi = {10.3390/axioms15110789},
  url = {https://www.mdpi.com/2075-1680/15/11/789},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Commutativity Criteria and Structural Properties of Prime Near-Rings Admitting Right Generalized Derivations on Specific Ideals
AU  - Khaled Aldwoah
AU  - Inzamam ul Huque
AU  - Hafedh Alnoghashi
AU  - Muntasir Suhail
AU  - Amel Touati
AU  - Radwan M. Al-omary
PY  - 2026
DA  - 2026/10/22
JO  - Axioms
DO  - 10.3390/axioms15110789
UR  - https://www.mdpi.com/2075-1680/15/11/789
AB  - In the setting of nonzero semigroup ideals, Jordan ideals, and Lie ideals of prime near-rings (under 2-torsion-free and 3-torsion-free conditions), this study investigates the structure of a prime near-ring that admits a right generalized derivation K associated with a derivation σ. Some of the obtained results generalize earlier works under comparable assumptions on the whole near-ring. In addition, examples are provided to illustrate why the hypotheses of the results are necessary.
SN  - 2075-1680
ER  -