The strong two-generator property in rings of integer-valued polynomials determined by finite sets

被引：6

作者：

Chapman, ST

Loper, A

Smith, WW

机构：

[1] Trinity Univ, Dept Math, San Antonio, TX 78212 USA

[2] Ohio State Univ, Newark, OH 43055 USA

[3] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA

来源：

ARCHIV DER MATHEMATIK | 2002年 / 78卷 / 05期

关键词：

D O I：

10.1007/s00013-002-8261-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let D be an integral domain and E = {e(1),..., e(k)} a finite nonempty subset of D. Then Int(E, D) has the strong two-generator property if and only if D is a Bezout domain. If D is a Dedekind domain which is not a principal ideal domain, then we characterize which elements of Int(E, D) are strong two-generators.

引用

页码：372 / 377

页数：6

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