Polynomials contained in a finite number of maximal ideals

被引：1

作者：

Sharma, PK ^{[1
]}

机构：

[1] Vigyan Bhawan, Sch Math, Indore 452017, India

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 07期

关键词：

Weierstrass polynomial; maximal ideals; Henselian rings;

D O I：

10.1081/AGB-120022217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：3159 / 3170

页数：12

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