| 关于群的弱同态的一个结论 |
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| 引用本文： | 王景梅,梁常建. 关于群的弱同态的一个结论[J]. 高师理科学刊, 2011, 31(6): 31-32. DOI: 10.3969/j.issn.1007-9831.2011.06.011 |
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| 作者姓名： | 王景梅 梁常建 |
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| 作者单位： | 商丘师范学院数学系,河南商丘,476000 |
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| 摘 要： | 设G1,G2为群,映射f:G1→G2是弱同态映射,通过在G1中构造同态元集和反同态元集,证明了f不是同态映射就是反同态映射.与相关文献相比,该证明过程简洁明了.
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| 关 键 词： | 弱同态 同态 反同态 |
A conclusion about weak homomorphism of groups |
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| WANG Jing-mei,LIANG Chang-jian. A conclusion about weak homomorphism of groups[J]. Journal of Science of Teachers＇College and University, 2011, 31(6): 31-32. DOI: 10.3969/j.issn.1007-9831.2011.06.011 |
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| Authors: | WANG Jing-mei LIANG Chang-jian |
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| Affiliation: | WANG Jing-mei,LIANG Chang-jian(Department of Mathmatics,Shangqiu Normal University,Shangqiu 476000,China) |
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| Abstract: | Let G1 and G2 be groups, mappingf ：G1 →G2 is weak homomorphism mapping. Prove thef is homomorphism mapping or the anti-homomorphism mapping through the constructing of homomorphism element and the homomorphism element. Compared with the related literature the certificate process is concise. |
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| Keywords: | weak homomorphism homomorphism anti-homomorphism |
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