Rigid Ideals in Gorenstein Rings of Dimension One

被引：9
|
作者：
Huneke, Craig [1 ]
Iyengar, Srikanth B. [2 ]
Wiegand, Roger [3 ]
机构：
[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA
[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
[3] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
来源：
ACTA MATHEMATICA VIETNAMICA | 2019年 / 44卷 / 01期
基金：
美国国家科学基金会;
关键词：
Complete intersection ring; Gorenstein ring; Rigid module; Tensor product; Torsion;
D O I：
10.1007/s40306-018-00315-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Motivated by a conjecture of Huneke and Wiegand concerning torsion in tensor products of modules over local rings, we investigate the existence of ideals I in a one-dimensional Gorenstein local ring R satisfying ExtR1(I,I)=0.
引用
收藏
页码：31 / 49
页数：19
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