| 关于半素环上微分恒等式的某些结果 |
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| 引用本文： | 张淑华,牛凤文. 关于半素环上微分恒等式的某些结果[J]. 数学杂志, 2000, 20(4): 383-386 |
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| 作者姓名： | 张淑华 牛凤文 |
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| 作者单位： | 吉林大学数学研究所,长春,130023 |
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| 基金项目： | Supported by the Doctoral Foundation of the Educational China DifferentialIdentities |
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| 摘 要： | 本文主要讨论了半素环的微商满足某些分恒等式的问题，给出了如下结果：假设R是带有扩张形心C的素环，I为R的稠密单侧理想，d和g是Ｒ的微商，如果d(x)g(x)=g(x)d(x)对任意x∈Ｉ均成立，那么对第一个x∈Ｒ，d^2(x)=0，或者存在λx∈Ｃ使得d(x)-λxg(x)∈Ｃ，同时给出了半素环的微商满足某些微分恒等式的结果。
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| 关 键 词： | 微商 微分恒等式 半素环 稠密单侧理想 |
SOME RESULTS ABOUT DIFFERENTAL IDENTITIES IN SEMIPRIME RINGS |
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| ZHANG Shu-hua,NIU Feng-wen. SOME RESULTS ABOUT DIFFERENTAL IDENTITIES IN SEMIPRIME RINGS[J]. Journal of Mathematics, 2000, 20(4): 383-386 |
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| Authors: | ZHANG Shu-hua NIU Feng-wen |
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| Abstract: | Let R be a prime ring with the extended centroid C, d and g be derivations of R, I be a dense one-sided ideal of R. Suppose that d(x)g(x)=g(x)d(x) for all x∈ I. Then for every x ∈ R, either d2(x)=0 or there exists λx∈C such that d(x)-λxg(x)∈C. Also we will discuss some differential identities in semiprime ring. |
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| Keywords: | semi )prime ring derivation differential identity. |
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