| 半素PI—环的超中心 |
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| 引用本文： | 游松发.半素PI—环的超中心[J].湖北大学学报(自然科学版),1995,17(1):58-60. |
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| 作者姓名： | 游松发 |
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| 摘 要： | 证明了半素ＰＩ－环的超中心是平凡的，即定理若Ｒ是半素ＰＩ－环，则Ｔ（Ｒ）＝Ｚ（Ｔ（Ｒ））＝Ｚ（Ｒ），其中Ｔ（Ｒ）是Ｒ的超中心；Ｚ（Ｒ）是Ｒ的中心。
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| 关 键 词： | 超中心 半素PI－环 换位子理想 谐零理想 PI环 |
THE HYPERCENTER OF SEMIPRIME PI-RING |
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| You Songfa.THE HYPERCENTER OF SEMIPRIME PI-RING[J].Journal of Hubei University(Natural Science Edition),1995,17(1):58-60. |
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| Authors: | You Songfa |
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| Institution: | Section of Scientific Research |
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| Abstract: | in this paper.we have proved that hypercenter of semiprime PI-ring is trivial,i.e Suppose R is a semiprime PI- ring,then T(R)=Z(T(R))=Z(R).Where T(R) is the hypercenter of R;Z(R) is the center of R. |
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| Keywords: | Hypercenter Semiprime PI-ring Commutator ideal Nil ideal |
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