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Generalized Derivations in Semiprime Gamma Rings
Joint Authors
Dey, Kalyan Kumar
Paul, Akhil Chandra
Rakhimov, Isamiddin S.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-16
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M, α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M, α∈Γ and for some derivation d of M.
We prove that D is a generalized derivation.
American Psychological Association (APA)
Dey, Kalyan Kumar& Paul, Akhil Chandra& Rakhimov, Isamiddin S.. 2012. Generalized Derivations in Semiprime Gamma Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-459070
Modern Language Association (MLA)
Dey, Kalyan Kumar…[et al.]. Generalized Derivations in Semiprime Gamma Rings. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-459070
American Medical Association (AMA)
Dey, Kalyan Kumar& Paul, Akhil Chandra& Rakhimov, Isamiddin S.. Generalized Derivations in Semiprime Gamma Rings. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-459070
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459070