Dependent Elements of Derivations on Semiprime Rings

Joint Authors

Ali, Faisal
Chaudhry, Muhammad Anwar

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-05-11

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

We characterize dependent elements of a commuting derivation d on a semiprime ring R and investigate a decomposition of R using dependent elements of d.

We show that there exist ideals U and V of R such that U⊕V is an essential ideal of R, U∩V={0}, d=0 on U, d(V)⊆V, and d acts freely on V.

American Psychological Association (APA)

Ali, Faisal& Chaudhry, Muhammad Anwar. 2009. Dependent Elements of Derivations on Semiprime Rings. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-491381

Modern Language Association (MLA)

Ali, Faisal& Chaudhry, Muhammad Anwar. Dependent Elements of Derivations on Semiprime Rings. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-6.
https://search.emarefa.net/detail/BIM-491381

American Medical Association (AMA)

Ali, Faisal& Chaudhry, Muhammad Anwar. Dependent Elements of Derivations on Semiprime Rings. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-6.
https://search.emarefa.net/detail/BIM-491381

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-491381