交换环的零化理想图为研究交换环的代数性质，尤其是理想结构，提供了有力的工具。本项目主要利用零化理想图来研究有限局部交换环的分类与结构。首先研究星图加细对有限局部交换环的零化理想图的实现问题，然后在此基础上，研究有限局部交换环的代数性质和结构与其零化理想图的图性质和结构之间的相互制约关系，并实现环与图的对应，从而对有限局部交换环进行完全分类。最后，利用有限域上多项式环的商环给出有限局部交换环结构的精确表示。

The annihilating-ideal graphs provide an excellent setting for studying some aspects of algebraic properties of commutative rings, especially, the ideal structures of rings. In this research item, we plan to study the realization of refinements of star graphs for the annihilating-ideal graphs of finite local commutative rings, and then investigate the relationship between the algebraic properties and structures of finite local commutative rings and the graphic properties and structures of their annihilating-ideal graphs, realize the connections between the rings and the corresponding graphs，and give a completely classifications of finite local commutative rings. Special attention will be paid to the further pursuit for the detailed structures of finite local commutative rings in terms of the quotients of polynomial rings.