Generalized Jordan Derivations Associate with Hochschild 2-Cocycles on Triangular Matrices
Received:November 10, 2010  Revised:April 18, 2011
Key Words: generalized Jordan derivation   generalized derivation   Hochschild 2-cocycle.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.A010602).
Author NameAffiliation
Jiankui LI Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China 
Qihua SHEN Department of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China 
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Abstract:
      In this paper, we prove that every generalized Jordan derivation associate with a Hochschild 2-cocycle from the algebra of upper triangular matrices to its bimodule is the sum of a generalized derivation and an antiderivation.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.04.011
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