ELASTICITY FOR INTEGRAL-VALUED POLYNOMIALS

被引：18

作者：

CAHEN, PJ ^{[1
]}

CHABERT, JL ^{[1
]}

机构：

[1] UNIV PICARDIE,INST SUPER SCI & TECH,F-02109 ST QUENTIN,FRANCE

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1995年 / 103卷 / 03期

关键词：

D O I：

10.1016/0022-4049(94)00108-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The elasticity of a domain is the upper bound of the ratios of lengths of two decompositions in irreducible factors of nonzero nonunit elements. We show that for a large class of Noetherian domains, including any domain contained in a number field (but not a field), the elasticity of the ring of integral-valued polynomials is infinite.

引用

页码：303 / 311

页数：9

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