DOI: 10.3390/axioms15110789 ISSN: 2075-1680
Commutativity Criteria and Structural Properties of Prime Near-Rings Admitting Right Generalized Derivations on Specific Ideals
Khaled Aldwoah, Inzamam ul Huque, Hafedh Alnoghashi, Muntasir Suhail, Amel Touati, Radwan M. Al-omaryIn 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.