摘要
利用Ritt——Wu零点分解算法及多项式理想的Grobner基方法,给出一种零维多项式理想准素分解的算法,即找出该理想所有准素分支的一组基,此外,任意多项式理想的根理想的一组基也可容易地构造出来.
By using Ritt - Wu' s Zero- decomposition algorithm and Grobner bases of Polynomial ideals, We give an algorithm for finding out the primary decomposition of a zero - dimensional polynomial ideal, namely, constructing a basis of each primary component of this ideal. In addition, a basis of the radical of an arbitrary polynomial ideal can be constructed easily.