Jordan Γ*-Derivation on Semiprime Γ-Ring M with Involution - Advances in Linear Algebra & Matrix Theory

ALAMT > Vol.6 No.2, June 2016

Jordan Γ*-Derivation on Semiprime Γ-Ring M with Involution ()

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DOI: 10.4236/alamt.2016.62006 2,102 Downloads 3,061 Views Citations

Author(s)

Ali Kareem^1*, Hajar Sulaiman¹, Abdul-Rahman Hameed Majeed²

Affiliation(s)

¹School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia.
²Department of Mathematics, University of Baghdad, Baghdad, Iraq.

ABSTRACT

Let M be a 2-torsion free semiprime G-ring with involution satisfying the condition that

(

and

). In this paper, we will prove that if a non-zero Jordan G^*-derivation d on M satisfies

for all

and

, then

KEYWORDS

Γ-Ring M with Involution, Jordan Γ*-Derivation, Commutative Γ-Ring

Share and Cite:

Kareem, A. , Sulaiman, H. and Majeed, A. (2016) Jordan Γ*-Derivation on Semiprime Γ-Ring M with Involution. Advances in Linear Algebra & Matrix Theory, 6, 40-50. doi: 10.4236/alamt.2016.62006.

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