置换群在多元多项式环因子分解中的应用

Application of Permutationin Multi-po lynomial Factorization of Ring

域上的多元多项式是单一分解环，但如何对其中的多项式因子分解却无一般方法可循． 本文通过置换群对多元多项式的作用，给出了一类多元多项式的因子分解的一种方法．

The ring of multi-polyn omial in the field is a simple factorable ring, but how to factorize the polynom ial of it, there is no way to follow. This article gives a necessary condition f or the factorization of ring of multi-polynomial through the function of permu tation to multi-polynomial.