Yuan Zhou’s scientific contributions

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Publications (1)


Left Derivations and Strong Commutativity Preserving Maps on Semiprime Γ\Gamma-Rings
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June 2012

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110 Reads

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3 Citations

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Yuan Zhou

In this paper, firstly as a short note, we prove that a left derivation of a semiprime Γ\Gamma-ring M must map M into its center, which improves a result by Paul and Halder and some results by Asci and Ceran. Also we prove that a semiprime Γ\Gamma-ring with a strong commutativity preserving derivation on itself must be commutative and that a strong commutativity preserving endomorphism on a semiprime Γ\Gamma-ring M must have the form σ(x)=x+ζ(x)\sigma(x)=x+\zeta(x) where ζ\zeta is a map from M into its center, which extends some results by Bell and Daif to semiprime Γ\Gamma-rings.

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Citations (1)


... Recently, X. Xu, J. Ma and Y. Zhou [15] proved that a semiprime Γring with a strong commutativity preserving derivation on itself must be commutative and that a strong commutativity preserving endomorphism σ on a semiprime Γ-ring M must have the form σ(a) = a + ξ(a) (a ∈ M ) where ξ is a map from M into its center, which extends some results by Bell and Daif to semiprime Γ-rings. ...

Reference:

Strong commutativity preserving derivations on Lie ideals of prime Γ-rings
Left Derivations and Strong Commutativity Preserving Maps on Semiprime Γ\Gamma-Rings