一个集合定义了一个叫作乘法的运算后 ,无零因子的性质在数学推理中是经常运用的 .但是这么个有用的性质在教学中未能引起教师足够的重视 ,而学生则认为是理所当然的事 ,只停留在习惯的应用上并没有深刻地理解它 .加之复数集无零因子的证明学生普遍感到困难 ,本文将提供几种证 After a set defines an operation called multiplication, the nature of the zero-free factor is often used in mathematical reasoning. However, such a useful nature does not cause teachers enough attention in teaching, and students take it for granted. Things that only stay on the application of habits do not have a deep understanding of it. Coupled with the fact that plural sets of zero-free factors prove to be generally difficult for students, this article will provide several types of evidence.