矩阵形式的素理想回避引理的研究及应用

The Matrix Type of Prime Avoidance Lemma Research and Application

素理想回避引理在交换代数中是一个既简单又相当重要的引理,受到了很广泛的运用,然而模的自由分解作为交换代数中一个非常重要的的研究项目,其与矩阵之间有着很紧密的关系,因此研究使用于自由分解的素理想回避引理也变得极为重要。主要提出了一个矩阵形式的素理想回避引理,同时对该引理进行了扼要证明,最后列举出了该引理在矩阵方程中的应用,说明了该引理的重要性。

Prime avoid lemma in commutative algebra is a simple and quite important lemma,received a wide range of use,however,the freedom of mode decomposition as a very important in commutative algebra research project,it has a close relationship between matrix and,so the use in liberty decomposition of prime ideal shun lemma has become extremely important.Mainly puts forward a matrix form of prime avoid lemma,proof of the lemma was briefly at the same time,the final list of the lemma in the application of matrix equation,illustrates the importance of lemma.