三角矩阵上的Hochschild 2-循环广义若当导子

Generalized Jordan Derivations Associate with Hochschild 2-Cocycles on Triangular Matrices

中文关键词:  广义若当导子  广义导子  Hochschild 2-循环  反导子.

英文关键词:generalized Jordan derivation  generalized derivation  Hochschild 2-cocycle.

中文摘要:

      本文证明了从上三角矩阵代数到它的双边模的每一个Hochschild-2循环广义若当导子是Hochschild-2循环广义导子和反导子之和.

英文摘要:

      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.