A note on a pair of derivations of semiprime rings

Muhammad Anwar Chaudhry and A. B. Thaheem

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-6

Abstract:

We study certain properties of derivations on semiprime rings. The main purpose is to prove the following result: let R be a semiprime ring with center Z ( R ) , and let f , g be derivations of R such that f ( x ) x + x g ( x ) ∈ Z ( R ) for all x ∈ R , then f and g are central. As an application, we show that noncommutative semisimple Banach algebras do not admit nonzero linear derivations satisfying the above central property. We also show that every skew-centralizing derivation f of a semiprime ring R is skew-commuting.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2004/620279.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2004/620279.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:620279

DOI: 10.1155/S0161171204302139

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().