Generalized Hyers-Ulam Stability of Generalized (๐,๐พ)-Derivations
Let 3โค๐, and 3โค๐โค๐ be positive integers. Let ๐ด be an algebra and let ๐ be an ๐ด-bimodule. A โ-linear mapping ๐โถ๐ดโ๐ is called a generalized (๐,๐)-derivation if there exists a (๐โ1)-derivation ๐ฟโถ๐ดโ๐ such that ๐(๐1๐2โฏ๐๐)=๐ฟ(๐1)๐2โฏ๐๐+๐1๐ฟ(๐2)๐3โฏ๐๐+โฏ+๐1๐2โฏ๐๐โ2๐ฟ(๐๐โ1)๐๐โฏ๐๐+๐1๐2โฏ๐๐โ1๐(๐๐)๐๐+1โฏ๐๐+๐1๐2โฏ๐๐๐(๐๐+...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2009-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2009/437931 |