Generalized Hyers-Ulam Stability of Generalized (𝑁,𝐾)-Derivations
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+𝑎1𝛿(𝑎2)𝑎3⋯𝑎𝑛+⋯+𝑎1𝑎2⋯𝑎𝑘−2𝛿(𝑎𝑘−1)𝑎𝑘⋯𝑎𝑛+𝑎1𝑎2⋯𝑎𝑘−1𝑑(𝑎𝑘)𝑎𝑘+1⋯𝑎𝑛+𝑎1𝑎2⋯𝑎𝑘𝑑(𝑎𝑘+...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/437931 |
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