ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS

Title & Authors
ON DERIVATIONS IN NONCOMMUTATIVE SEMIPRIME RINGS AND BANACH ALGEBRAS
PARK, KYOO-HONG;

Abstract
Let R be a noncommutative semi prime ring. Suppose that there exists a derivation d : R $\small{\to}$ R such that for all x $\small{\in}$ R, either [[d(x),x], d(x)] = 0 or $\small{\langle}$$\small{\langle(x),\;x\rangle,\;d(x)\rangle}$ = 0. In this case [d(x), x] is nilpotent for all x $\small{\in}$ R. We also apply the above results to a Banach algebra theory.
Keywords
derivation;semiprime ring;Banach algebra;
Language
English
Cited by
1.
GENERALIZED DERIVATIONS IN PRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS,;

대한수학회보, 2008. vol.45. 4, pp.621-629
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