关于两个多元多项式互素问题

The Necessary and Sufficient Condition Concerning Relatively Prime of Several Variables Polynomials

给出了两个二元多项式互素的充要条件 ,然后利用这个充要条件推出二元多项式互素的性质 ,最后给出一般的 n元多项式互素的充要条件 .

In this paper we give a necessary and sufficient condition for polynomials of two variables to be relatively prime. Using this theorem we obtain some properties of relatively prime polynomials of two variables. At last, we discuss the necessary and sufficient condition for polynomials of n variables to be relatively prime and their properties.