[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2009.46.5.857

PAIR OF (GENERALIZED-)DERIVATIONS ON RINGS AND BANACH ALGEBRAS

Wei, Feng (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)
Xiao, Zhankui (DEPARTMENT OF MATHEMATICS BEIJING INSTITUTE OF TECHNOLOGY)

Publication Information

Bulletin of the Korean Mathematical Society / v.46, no.5, 2009 , pp. 857-866 More about this Journal

Abstract

Let n be a fixed positive integer, R be a 2n!-torsion free prime ring and $\mu$ , $\nu$ be a pair of generalized derivations on R. If < $\mu^2(x)+\nu(x),\;x^n$ > = 0 for all x $\in$ R, then $\mu$ and $\nu$ are either left multipliers or right multipliers. Let n be a fixed positive integer, R be a noncommutative 2n!-torsion free prime ring with the center $C_R$ and d, g be a pair of derivations on R. If < $d^2(x)+g(x)$ , $x^n$ > $\in$ $C_R$ for all x $\in$ R, then d = g = 0. Then we apply these purely algebraic techniques to obtain several range inclusion results of pair of (generalized-)derivations on a Banach algebra.

Keywords

(generalized-)derivation; (semi-)prime ring; Banach algebra;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)
Times Cited By Web Of Science : 1 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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