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

Mathematics

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