| 有微分算子的质环的一个定理 |
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| 引用本文： | 高海余,史亚南. 有微分算子的质环的一个定理[J]. 西安石油大学学报(自然科学版), 1989, 0(2) |
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| 作者姓名： | 高海余 史亚南 |
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| 作者单位： | 西安石油学院基础课部，陕西省金属结构厂 |
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| 摘 要： | 本文讨论了具有性质D(n,z)的质环的性质。证明了具有性质D(n,z)的质环R或为可换整环;或为除环;或它在中心上的局部化为4—维单代数。著名的Herstein定理在本文中作为推论给出。
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| 关 键 词： | 微分算子 质环 |
A Theorem of Prime Rings with Differential Operator |
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| Gao Haiyu. A Theorem of Prime Rings with Differential Operator[J]. Journal of Xian Shiyou University, 1989, 0(2) |
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| Authors: | Gao Haiyu |
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| Affiliation: | Gao Haiyu ( Xian Petroleum Institute ) Shi Yanan ( Shaanxi Metal Structure Works ) |
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| Abstract: | In this paper the features of a prime ring R with property D(n,z) are discusscd. It is proved that a prime ring with property D(n,z) may be either a commutative integral domain or a division ring or a 4-dimensional simple algebra over its center. The well-known Herstein's theorem is introduced as a corollary in this paper. |
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| Keywords: | differential operator prime ring |
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