关于多项式环的零因子教学注记

Some Teaching Remarks on Zero Divisor of Polynomial Rings

设R是一个环,对于R中非零元a,如果ab=0,则称a是左零因子,这里b是环R的非零元.通过研究环上的多项式环的零因子的性质,获得了一些关于多项式环零因子的重要的结论,加深对环的零因子的认识和理解,为零因子的教学提供更多素材.

Let R be a ring, a non-zero element a is called left zero divisor if ab = 0, where b also is a non-zero element. Some results on zero divisor of polynomial ring are got, which get a deeper understanding on zero divisor of ring, and offer plenty of examples for teaching.