关系、多射、等价分类方法(I)

A Method of Relationships, Poly-mapping and Equivalence Partition (I)

通过关于数论中的同余理论、抽象代数中的同态理论和高等几何中的变换群理论等有关问题讨论，归纳、总结出关系、多射、等价分类方法，即RPE方法，这种方法是继关系、映射、反演方法（RMI方法）后，又一种通过映射解决问题的数学方法；同时也是一种在数学教学与科学研究中，相当有用且为数学所独有的数学方法。

Discussed in this paper are some problems concerning the congruence in number theory, homomorphi in abstract algebra and the transformation group theory in higher geometry A mathematical method RPE,which generalizes RMI,resulted from relationship,poly-mapping and equivalence partition is introduced.It is a useful method in mathematics teaching and scientifie research.