A GENERAL CHARACTERIZATION OF ADDITIVE MAPS ON SEMIPRIME RINGS

Authors

  • Amin Hosseini Department of Mathematics, Kashmar higher education Institute, Kashmar, Iran.

DOI:

https://doi.org/10.30495/jme.v10i0.472

Keywords:

Jordan derivations, Jordan centralizers, l-semi Hochschild 2-cocycle, 2-torsion free semiprime rings.

Abstract

The main purpose of this article is to prove the following main result: Let R be a 2-torsion free semiprime ring and T : R → R be a Jordan left centralizer associated with an l-semi Hochschild 2-cocycle α: R ⨯ R → R. Then, T is a left centralizer associated with α. In order to show application of this result, several corollaries concerning Jordan generalized derivations, Jordan σ-derivations, Jordan generalized σ-derivations and Jordan (σ, τ )-derivations will be presented.

Author Biography

Amin Hosseini, Department of Mathematics, Kashmar higher education Institute, Kashmar, Iran.

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Published

2016-07-11

Issue

Vol. 10

Section

Vol. 10, No. 3, (2016)

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