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.
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页码：372 / 377
页数：6
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