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Generalized (1,∅)-Derivations of Noncommutative Prime Rings |
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PP: 61-65 |
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Author(s) |
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Mehsin Jabel Atteya,
Dalal Ibraheem Rasen,
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Abstract |
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| In the present paper ,we study when a noncommutative prime ring and semiprime ring R admitting a generalized (1,∅)-derivation F satisfying any one of the properties: (i)F(x)F(y)∓xy ∈Z(R) for all x,y ∈ I.(ii)F(x)F(y)∓yx ∈ Z(R) for all x,y∈I.(iii)F(xy)–xoy ∈ Z(R) for all x,y ∈ I. |
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