| Grothendieck环及其应用 |
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| 引用本文： | 陈焕艮.Grothendieck环及其应用[J].数学学报,1997,40(5):641-646. |
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| 作者姓名： | 陈焕艮 |
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| 作者单位： | 湖南师范大学数学系 |
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| 基金项目： | 湖南省自然科学基金,湖南省教委基金 |
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| 摘 要： | 本文以Ｇｒｏｔｈｅｎｄｉｅｃｋ环为工具，利用相关环刻划了环的Ｇｒｏｔｈｅｎｄｉｅｃｋ群，得到了环的连通性、稳定自由性等性质的重要特征．最后给出了它们在群环的应用．
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| 关 键 词： | 连通性，K_0环，总体维数 |
| 收稿时间： | 1995-1-16 |
Grothendieck Rings and Their Applications |
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| Chen Huanyin.Grothendieck Rings and Their Applications[J].Acta Mathematica Sinica,1997,40(5):641-646. |
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| Authors: | Chen Huanyin |
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| Institution: | Chen Huanyin (Department of Mathematics, Hunan Normal University, Changsha 410006, China) |
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| Abstract: | By virtue of K 0 ring, we describe Grothendieck groups from related rings, and obtain some important characterizations of conected properties and stably free properties. Finally, we give some applications to group rings. |
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| Keywords: | Connected property K 0 rings Global dimensions |
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