| 素环上的导子在Lie理想上的协交换子的零化子 |
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| 引用本文： | 吴伟,牛凤文.素环上的导子在Lie理想上的协交换子的零化子[J].东北数学,2006,22(4):415-424. |
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| 作者姓名： | 吴伟 牛凤文 |
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| 作者单位： | Institute of Mathematics Jilin University，Changchun，130012 Department of Mathematics，Tianjin University，Tianjin，300072，Institute of Mathematics，Jilin University，Changchun，130012 |
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| 摘 要： | Let R be a prime ring of characteristic different from 2,d and g twoderivations of R at least one of which is nonzero,L a non-central Lie ideal of R,anda∈R.We prove that if a(d(u)u-ug(u))=0 for any u∈L,then either a=0,or R is an s_4-ring,d(x)=p,x],and g(x)=-d(x)for some p in the Martindalequotient ring of R.
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| 关 键 词： | 素环 Lie理想 余交换子 导子 零化子 广义多项式 |
Annihilator on Co-commutators with Derivations on Lie Ideals in Prime Rings |
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| WU Wei,NIU Feng-wen.Annihilator on Co-commutators with Derivations on Lie Ideals in Prime Rings[J].Northeastern Mathematical Journal,2006,22(4):415-424. |
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| Authors: | WU Wei NIU Feng-wen |
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| Institution: | [1]Institute of Mathematics, Jilin University, Changchun, 130012 [2]Department of Mathematics, Tianjin University, Tianjin, 300072 |
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| Abstract: | |
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| Keywords: | prime ring generalized polynomial identity differential identity 2000 MR subject classification:16W25 |
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