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http://dx.doi.org/10.4134/BKMS.2005.42.4.671

ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS  

PARK, KYOO-HONG (DEPARTMENT OF MATHEMATICS EDUCATION, SEOWON UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.42, no.4, 2005 , pp. 671-678 More about this Journal
Abstract
Let R be a noncommutative semi prime ring. Suppose that there exists a derivation d : R $\to$ R such that for all x $\in$ R, either [[d(x),x], d(x)] = 0 or $\langle$$\langle(x),\;x\rangle,\;d(x)\rangle$ = 0. In this case [d(x), x] is nilpotent for all x $\in$ R. We also apply the above results to a Banach algebra theory.
Keywords
derivation; semiprime ring; Banach algebra;
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Times Cited By KSCI : 1  (Citation Analysis)
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