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Algebra i Analiz, 2009, Volume 21, Issue 1, Pages 61–73 (Mi aa859)  
This article is cited in 2 scientific papers (total in 2 papers)

On $\theta$-centralizers of semiprime rings (II)

M. N. Daifa, M. S. Tammam El-Sayiadb

a Department of Mathematics, Faculty of Science, Al-Azhar Universit, Cairo, Egypt
b Department of Mathematics, Faculty of Science, Beni Suef University, Beni Suef, Egypt
Full-text PDF (187 kB) Citations (2)
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Abstract: The following result is proved: Let $R$ be a 2-torsion free semiprime ring, and let $T\colon R\to R$ be an additive mapping, related to a surjective homomorphism $\theta\colon R\to R$, 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.
Keywords: prime ring, semiprime ring, left(right) centralizer, left(right) $\theta$-centralizer, left(right) Jordan $\theta$-centralizer, derivation, Jordan derivation.
Received: 28.09.2007
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 1, Pages 43–52
DOI: https://doi.org/10.1090/S1061-0022-09-01084-X
Bibliographic databases:
MSC: 16N60
Language: English
Citation: M. N. Daif, M. S. Tammam El-Sayiad, “On $\theta$-centralizers of semiprime rings (II)”, Algebra i Analiz, 21:1 (2009), 61–73; St. Petersburg Math. J., 21:1 (2010), 43–52
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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