The properties kept by homomorphism of rings are generalized by restricting zero divisors of rings, and some important theorems are proved. 摘要通过对环的零因子进行限制，推广了环同态所保持的性质，证明了几个重要的定理。
It introduces the concept of power semigroup, studies the relations between homomorphism and congruence of power semigroup and obtains some perfect results. 摘要给出了幂半群的概念，研究了幂半群的同态与同余关系，讨论了它们之间的关系，并得到了一些理想的结果。
