| 总体维数和有限表现模 |
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| 引用本文： | 冯良贵.总体维数和有限表现模[J].江西师范大学学报(自然科学版),1996,20(1):57-60. |
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| 作者姓名： | 冯良贵 |
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| 作者单位： | 南京大学数学系 |
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| 摘 要： | 该文就Ｒ 冯；诺意曼正则环，遗传环，半遗传不和拟局部凝聚环的情况下，讨论了Ｒ的总体维数与ｓｕｐ｛ＰｄＡ｜Ａ为有限表现模｝的关系。同时对拟局部凝聚环Ｒ，给出了Ｒ的总体维数与ｓｕｐＰｄＡ｜Ａ为有限表现模｛的相等的几个主要条件。
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| 关 键 词： | 总体维数 有限表现模 环 正则环 遗传环 |
Global Dimension and Finitely Presented Modules |
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| Feng Lianggui.Global Dimension and Finitely Presented Modules[J].Journal of Jiangxi Normal University (Natural Sciences Edition),1996,20(1):57-60. |
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| Authors: | Feng Lianggui |
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| Abstract: | Let R be a ring,we discuss the relation between gldimR and sup {PdA |A is a finitely presented R-module},especially when R is a VN regular, a hereditary, a semihereditary and a quasi-local coherent ring resp. |
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| Keywords: | global dimension finitely presented modules ring |
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