关于多项式的同余与剩余类环

关于多项式的同余与剩余类环

关键词：同余；多元多项式；剩余类环

On the Congruence and Residue Class Ring of Polynomials

Abstract: In this paper the concept of modulus multivariate polynomial residue class rings has been set up，the method to study number theory is used, the composition of polynomial residue class rings is discussed in detail. There are two kinds of elements in the rings. One is reversible element, and the other is zero divisor. The necessary and sufficient condition for polynomial ring can be multiplication reversible element and the judgment for reversible elements and zero divisors when the rings are not fields are also discussed.

Keywords: Congruence; multivariate polynomial; residue class ring.