同态满射下最大理想的象与逆象

Image and Inverse Image of a Maximal Idea in the Homomorphism

得到了同态满射下,最大理想的逆象是最大理想,并给出了最大理想的象也是最大理想的一些等价条件.

This article proved that in the homomorphism of G onto H, the inverse image of a maximal ideal in H is also a maximal ideal in G. It also gives some equivalent conditions of that a maximal ideal’s image is a maximal ideal.