| 一个特征标环素谱的连通性 |
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| 引用本文： | 陈刚. 一个特征标环素谱的连通性[J]. 数学杂志, 2005, 25(2): 217-220 |
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| 作者姓名： | 陈刚 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | 国家重点基础研究发展规划(973计划)资助项目 |
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| 摘 要： | 本文确定了一个有限群特征标环通过代数整数环扩张后素谱的结构，在此基础之上，利用与[1]中类似的方法证明了这个扩张后的特征标环素谱的连通性。同时还计算了有限群的复类函数空间的幂等元．
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| 关 键 词： | 特征标环 连通性 素谱 |
| 文章编号： | 0255-7797(2005)02-0217-04 |
THE CONNECTIVITY OF THE PRIME SPECTRUM OF A CHARACTER RING |
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| CHENG Gang. THE CONNECTIVITY OF THE PRIME SPECTRUM OF A CHARACTER RING[J]. Journal of Mathematics, 2005, 25(2): 217-220 |
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| Authors: | CHENG Gang |
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| Abstract: | In this paper, by using the method of , we determine the structure of the prime spectrum of the ring which is the extension ring of the character ring of a finite group by the ring generated by all the algebraic numbers. And then we prove the connectivity of the prime spectrum of this ring. Finally, we compute the idempotents in the space generated by all the complex class functions of a finite group. |
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| Keywords: | character ring connectivity prime spectrum |
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