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      저자 : Zhankui Xiao (검색결과 4 건)
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      • SCIESCOPUSKCI등재

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

        Wei, Feng,Xiao, Zhankui Korean Mathematical Society 2009 대한수학회보 Vol.46 No.5

        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.

      • SCIESCOPUSKCI등재

        GENERALIZED JORDAN TRIPLE HIGHER DERIVATIONS ON SEMIPRIME RINGS

        Wei, Feng,Xiao, Zhankui Korean Mathematical Society 2009 대한수학회보 Vol.46 No.3

        In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

      • KCI등재

        Generalized Jordan triple higher derivations on semiprime rings

        Feng Wei,Zhankui Xiao 대한수학회 2009 대한수학회보 Vol.46 No.3

        In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring. In this paper we prove that every generalized Jordan triple higher derivation on a 2-torsion free semiprime ring is a generalized higher derivation. This extend the main result of [9] to the case of a semiprime ring.

      • KCI등재

        Pair of (generalized-)derivations on rings and Banach algebras

        Feng Wei,Zhankui Xiao 대한수학회 2009 대한수학회보 Vol.46 No.5

        Let n be a fixed positive integer, R be a 2n!-torsion free prime ring and μ, be a pair of generalized derivations on R. If (μ2(x)+ v(x), x^n = 0 for all x ∈ R, then μ and 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 CR and d, g be a pair of derivations on R. If (d^2(x) + g(x), x^n)∈ CR for all x ∈ 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. Let n be a fixed positive integer, R be a 2n!-torsion free prime ring and μ, be a pair of generalized derivations on R. If (μ2(x)+ v(x), x^n = 0 for all x ∈ R, then μ and 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 CR and d, g be a pair of derivations on R. If (d^2(x) + g(x), x^n)∈ CR for all x ∈ 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.

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