关于群的弱同态的一个结论  

A conclusion about weak homomorphism of groups

作　　者：王景梅[1] 梁常建[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《高师理科学刊》2011年第6期31-32,共2页Journal of Science of Teachers＇College and University

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.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.

关 键 词：弱同态 同态 反同态 

分 类 号：O152[理学—数学]