On $\theta$-centralizers of semiprime rings (II)
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- by M. N. Daif and M. S. Tammam El-Sayiad
- St. Petersburg Math. J. 21 (2010), 43-52
- DOI: https://doi.org/10.1090/S1061-0022-09-01084-X
- Published electronically: November 4, 2009
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Abstract:
The following result is proved: Let $R$ be a 2-torsion free semiprime ring, and let $T : R \to R$ be an additive mapping, related to a surjective homomorphism $\theta : R\to R$, such that $2T(x^2)=T(x)\theta (x)+\theta (x) T(x)$ for all $x\in R$. Then $T$ is both a left and a right $\theta$-centralizer.References
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Bibliographic Information
- M. N. Daif
- Affiliation: Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, Egypt
- Email: nagydaif@yahoo.com
- M. S. Tammam El-Sayiad
- Affiliation: Department of Mathematics, Faculty of Science, Beni Suef University, Beni Suef, Egypt
- Email: m_s_tammam@yahoo.com
- Received by editor(s): September 28, 2007
- Published electronically: November 4, 2009
- © Copyright 2009 American Mathematical Society
- Journal: St. Petersburg Math. J. 21 (2010), 43-52
- MSC (2000): Primary 16N60
- DOI: https://doi.org/10.1090/S1061-0022-09-01084-X
- MathSciNet review: 2553051