环上的反同态

Anti-homomorphism of Rings

介绍了环反同态的概念,提出并证明了与此相关的重要定理:反同态与同态一定条件下相互转化的关系定理,环的反同态基本定理,反同态下两个环的代数结构、性质之间的异同.旨为更深刻地研究环结构和性质做准备.

The concept of anti-homomorphism on rings is introduced.Properties and some important theorems which are related to this concept are given and proved.Anti-homomorphism can becomes homomorphism in certain conditions.Anti-homomorphism fundamental theorem is important.There are some relations between two algebraic structures of rings under the condition of anti-homomorphism.Thus we lay solid foundation of further research in rings＇ structure.