| 群上同余 |
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| 引用本文： | 伍秀华,李庆国.群上同余[J].数学理论与应用,2004,24(2):48-51. |
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| 作者姓名： | 伍秀华 李庆国 |
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| 作者单位： | 湖南大学数学与计量经济学院，长沙，410082 |
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| 摘 要： | 本引进了群上同余的概念，得到了群上的等价关系为群上同余的一个充分必要条件，并讨论了群上同余与群上正规子群之间的关系以及群上同余与群上同态之间的关系．
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| 关 键 词： | 等价关系 同态 正规子群 充分必要条件 |
Congruence on Group |
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| Wu Xiuhu Li Qingguo.Congruence on Group[J].Mathematical Theory and Applications,2004,24(2):48-51. |
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| Authors: | Wu Xiuhu Li Qingguo |
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| Abstract: | In this paper,we introuduce congruence on group and get a necessary and sufficient condition for equivalence relation on group being a congruence on group.We also discuss the interrelation between congruence on group and the normal subgroup of group as well as the interrelation between congruence on group and homomorphism on group. |
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| Keywords: | equivalence relation homomorphism mormal subgroup |
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