Generalized Hyers-Ulam Stability of Generalized N, K -Derivations

By M. Eshaghi Gordji, John Michael Rassias, N. Ghobadipour. 2009

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Let 3≤𝑛, and 3≤𝑘≤𝑛 be positive integers. Let 𝐴 be an algebra and let 𝑋 be an 𝐴-bimodule. A ℂ-linear mapping 𝑑∶𝐴→𝑋 is called a generalized (𝑛,𝑘)-derivation if there exists a (𝑘−1)-derivation 𝛿∶𝐴→𝑋 such that 𝑑(𝑎1𝑎2⋯𝑎𝑛)=𝛿(𝑎1)𝑎2⋯𝑎𝑛

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e8a6695775ee8c6e2affc271ce290b837633cc7c