Polynomials contained in a finite number of maximal ideals

摘要

Let RX be a polynomial ring in one variable over a commutative ring R. If (R, M) is a local ring then any Weierstrass polynomial in RX is contained only in the maximal ideal (M, X) of RX. We generalise this property of Weierstrass polynomials and investigate properties of,polynomials contained in a finite number of maximal ideals in RX. References: 6