Higher Derivations Satisfying Certain Identities in Rings
Copyright policy )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,y∈ZR for all x,y∈R.
- Princess Nourah bint Abdulrahman University Saudi Arabia
- Aligarh Muslim University India
Algebra over a field, Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Cluster Algebras and Triangulated Categories, Pure mathematics, Derivations, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics
Algebra over a field, Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Study of properties and structures of commutative rings, Cluster Algebras and Triangulated Categories, Pure mathematics, Derivations, Physical Sciences, QA1-939, FOS: Mathematics, Geometry and Topology, Mathematics
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