| 广义半单环 |
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| 引用本文： | 张顺华.广义半单环[J].山东大学学报(理学版),1999,34(1). |
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| 作者姓名： | 张顺华 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 定义并刻划了广义半单环，证明了当Ｇａｂｒｉｅｌ拓扑Ｇ完备时，商环ＲＧ半单等价于环Ｒ是广义半单环
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| 关 键 词： | 遗传扭论 Gabriel拓扑 商环 商范畴 |
| 修稿时间： | :1997-06-0 |
GENERALIZED SEMISIMPLE RING RELATIVE TO A GABRIEL TOPOLOGY |
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| Zhang Shunhua.GENERALIZED SEMISIMPLE RING RELATIVE TO A GABRIEL TOPOLOGY[J].Journal of Shandong University,1999,34(1). |
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| Authors: | Zhang Shunhua |
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| Abstract: | Generalized semisimple ring is defined and investigated.It is proved that,when G is a perfect Gabriel topology,the quotient ring R G is semisimple if and only if R is the Generalized semisimple ring. |
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| Keywords: | hereditary torsion theory Gabriel topology quotient category quotient ring |
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