Citation
Tk. Lee et Wk. Shiue, Identities with generalized derivations, COMM ALGEB, 29(10), 2001, pp. 4437-4450
Citations number
15
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872
→ ACNP
Volume
29
Issue
10
Year of publication
2001
Pages
4437 - 4450
Database
ISI
SICI code
0092-7872(2001)29:10<4437:IWGD>2.0.ZU;2-X
Abstract
Let R be a prime ring with extended centroid C. By a generalized derivation
of R we mean an additive map g: R --> R such that (xy)(g) = x(g)y + xy(del
ta) for all x epsilon R, where delta is a derivation of R. In this paper we
prove a version of Kharchenko's theorem for generalized derivations and pr
esent some results concerning certain identities with generalized derivatio
ns.