On Higher g_n, h_n-derivations

2019/07/08 by Amin Hosseini, Hosseini, Amin, Nadeem ur Rehman +1
Computer Science · Mathematics · #16W10 #47B47 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1907.03845

openalex publication_date 2019/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article, we introduce the concepts of higher g_n, h_n-derivation and Jordan higher g_n, h_n-derivation, and then we give a characterization of higher g_n, h_n-derivations in terms of g, h-derivations. Using this result, we prove that every Jordan higher g_n, h_n-derivation on a semiprime algebra is a higher g_n, h_n-derivation.

Citations

• Characterization of Higher Derivations on Algebras

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• Jordan g, h-derivations on algebra of matrices
• Jordan left g, h-derivations over some algebras
• Generalized derivations of Hom-Jordan algebras
• On Generalized (m, n)-Jordan Derivations and Centralizers of Semiprime Rings