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http://dx.doi.org/10.4134/CKMS.2002.17.4.607

DERIVATIONS OF SEMIPRIME RINGS AND NONCOMMUTATIVE BANACH ALGEBRAS  

Kim, Byung-Do (Department of Mathematics, Kangnung National University)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.4, 2002 , pp. 607-618 More about this Journal
Abstract
Let A be a noncommutative Banach algebra. Suppose there exists a continuous linear Jordan derivation D : A \longrightarrowA such that D($\chi$)[D($\chi$),$\chi$]D($\chi$) $\in$ rad(A) for all $\chi$ A. In this case, we have D(A) ⊆ rad(A).
Keywords
semiprime ring; Jordan derivation;
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