| T拟内射模与TQI环 |
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| 引用本文： | 张顺华.T拟内射模与TQI环[J].数学学报,1995,38(1):71-76. |
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| 作者姓名： | 张顺华 |
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| 作者单位： | 山东水利专科学校基础部，北京师范大学数学系 |
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| 摘 要： | 本文定义并刻划了Ｔ拟内射模与Ｔ拟内射包，证明了ＷＧ－ｃｏｃｒｉｔｉｃａｌＴ拟内射模的自同态环为正则非奇异右自内射环．最后讨论了Ｔ拟内射模与Ｔ内射模一致的环，即ＴＱＩ环．还给出了Ｇａｂｒｉｅｌ拓扑Ｇ中每个右理想Ｔ拟内射的几个等价条件
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| 关 键 词： | 遗传扭论，Gabriel拓扑，T－拟内射模，T－拟内射包，TQI环 |
| 收稿时间： | 1992-3-6 |
| 修稿时间： | 1992-11-17 |
T-Quasinjective Modules and TQI Rings |
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| Zhang Shunhua.T-Quasinjective Modules and TQI Rings[J].Acta Mathematica Sinica,1995,38(1):71-76. |
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| Authors: | Zhang Shunhua |
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| Institution: | Zhang Shunhua(Shandong Hydraulic Engineering Institute,Taian 271000,China) |
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| Abstract: | In this paper,quasinjective modules and quasinjective hulls are generalized to thesituation of a hereditary torsion theory, the author defines and investigates T-quasinjective mod-ules,T-quasinjective hulls and TQI rings, then gives seven equivalent conditions that every rightideal in Gabriel topology G is T-quasinjective. |
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| Keywords: | hereditary torsion theory Gabriel topology T-quasinjective modules T-quasinjecti-ve hulls TQI rings |
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