| Bass环与分次Bass环 |
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| 引用本文： | 李长安,陈清华.Bass环与分次Bass环[J].福建师范大学学报(自然科学版),2001,17(1):4-9. |
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| 作者姓名： | 李长安 陈清华 |
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| 作者单位： | 福建师范大学数学系, |
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| 基金项目： | 福建省教委基金资助项目! (ZA 0 0 15 2 ) |
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| 摘 要： | 引进并刻划了分次Bass环，讨论了分次环R及由它导出的非分次环R，Re,R#G之间的Bass环性质的关系，得到在有限群G－型强分次环（|G|是R的逆元，e是G的单位元）的条件下，R，Re,R#G与分次环R在Bass环性质上是一致的。
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| 关 键 词： | Bass环 分次Bass环 Smash积 优扩张 分次模 分次极大子模 分次内射 |
| 文章编号： | 1000-5277（2001）01-0004-06 |
| 修稿时间： | 2000年6月8日 |
Bass Rings and Graded Bass Rings |
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| Li Chang-an,CHEN Qing-hua.Bass Rings and Graded Bass Rings[J].Journal of Fujian Teachers University(Natural Science),2001,17(1):4-9. |
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| Authors: | Li Chang-an CHEN Qing-hua |
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| Abstract: | Introduces and characterizes graded Bass rings,discusses the relations among graded rings R and the rings which are derived by it,R,Re,R＃G and obtains R,Re,R＃G and graded ring R are identical on the properties about Bass rings on the conditions of finite group G-type strongly graded rings(｜G｜ is inverse of R,e is the identity of G)． |
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| Keywords: | Bass ring graded Bass ring Smash product excellent extension of ring |
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