| 关于半完全环的K1群 |
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| 引用本文： | 范自强,彭喻振,宋光天.关于半完全环的K1群[J].数学杂志,2008,28(6). |
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| 作者姓名： | 范自强 彭喻振 宋光天 |
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| 作者单位： | 中国科学技术大学数学系,安徽,合肥,230026 |
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| 摘 要： | 本文研究了半完全环的K1群. 利用半局部环的K1群的已知结果和半完全环的构造, 证明了半完全环R的K1群是R的一些子环的K1群的直和与R的单位群的一个子群的商群.
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| 关 键 词： | K1群 半完全环 |
ON K1-GROUPS OF SEMIPERFECT RINGS |
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| FAN Zi-qiang,PENG Yu-zhen,SONG Guang-tian.ON K1-GROUPS OF SEMIPERFECT RINGS[J].Journal of Mathematics,2008,28(6). |
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| Authors: | FAN Zi-qiang PENG Yu-zhen SONG Guang-tian |
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| Abstract: | In this paper, the K1-group of a semiperfect ring is studied. By using the known result of K1-group of a semilocal ring and the construction of the semiperfect ring. It is proved that the K1-group of a semiperfect ring R is the quotient group of the direct sum of K1-groups of some subrings of R by a subgroup of the unit group of R. |
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| Keywords: | K1-group semiperfect ring |
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