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http://dx.doi.org/10.4134/BKMS.2008.45.4.621

GENERALIZED DERIVATIONS IN PRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS  

De Filippis, Vincenzo (FACULTY OF ENGINEERING UNIVERSITY OF MESSINA)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.4, 2008 , pp. 621-629 More about this Journal
Abstract
Let R be a prime ring of characteristic different from 2, C the extended centroid of R, and $\delta$ a generalized derivations of R. If [[$\delta(x)$, x], $\delta(x)$] = 0 for all $x\;{\in}\;R$ then either R is commutative or $\delta(x)\;=\;ax$ for all $x\;{\in}\;R$ and some $a\;{\in}\;C$. We also obtain some related result in case R is a Banach algebra and $\delta$ is either continuous or spectrally bounded.
Keywords
prime ring; derivations; differential identities; Banach algebras;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 3  (Related Records In Web of Science)
Times Cited By SCOPUS : 6
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