Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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τ-CENTRALIZERS AND GENERALIZED DERIVATIONS

  • Zhou, Jiren (DEPARTMENT OF MATHEMATICS EAST CHINA UNIVERSITY OF SCIENCE AND TECHNOLOGY)
  • Published : 2010.05.01
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Abstract

In this paper, we show that Jordan $\tau$-centralizers and local $\tau$-centralizers are $\tau$-centralizers under certain conditions. We also discuss a new type of generalized derivations associated with Hochschild 2-cocycles and introduce a special local generalized derivation associated with Hochschild 2-cocycles. We prove that if $\cal{L}$ is a CDCSL and $\cal{M}$ is a dual normal unital Banach $alg\cal{L}$-bimodule, then every local generalized derivation of above type from $alg\cal{L}$ into $\cal{M}$ is a generalized derivation.

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References

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Cited by

  1. Characterizations of generalized derivations associated with hochschild 2-cocycles and higher derivations vol.39, pp.6, 2016, https://doi.org/10.2989/16073606.2016.1177746