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Abstract of Applied Sciences and Engineering

December 2014, Volume 1, 1, pp 12

Generalized Centralizers on Semiprime Rings

A. Hosseini

A. Hosseini 1

  1. Assistant Professor, Kashmar Higher Education Institute, Kashmar, Iran 1

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Abstract:

The main purpose of this article is to prove the following result: Let R be a 2-torsion free semiprime ring and (T, β): R→R be a Jordan generalized left centralizer. If β is an l-semi Hochschild 2-cocycle, then T is a generalized left centralizer. As application, we present several corollaries concerning Jordan σ-derivation, Jordan generalized σ-derivation and Jordan (σ, τ)-derivation.

Keywords:

Jordan derivations, Jordan centralizers, Jordan generalized centralizers, 2-torsion free semiprime rings

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Funding:

Competing Interests:

Acknowledgement: