单胚的若干性质研究

The Research on Some Properties of Monoids

本文首先给出单胚的定义及相关定义,仿照研究群的手法,在单胚中推广结合律和交换律,重点讨论了单胚的构造,以及在同态下,单胚所具有的一些重要性质,获得了若干结论,进而使我们可以从另一个角度来研究群和环两个代数结构.

This paper gives the definition of monoids and related definitions firstly, modeles the approach of the research on groups, in the monoid to promote associative and commutative, focused on the construction of the monoid, and some of the important properties of monoids in the case of homomorphism, getting some conclusions. Then we can study two algebraic structures of groups and rings from another point of view.