Core of projective dimension one modules

被引：0
作者：
Alberto Corso
Claudia Polini
Bernd Ulrich
机构：
[1] University of Kentucky,Department of Mathematics
[2] University of Notre Dame,Department of Mathematics
[3] Purdue University,Department of Mathematics
来源：
manuscripta mathematica | 2003年 / 111卷
关键词：
Local Ring; Projective Dimension; Regular Local Ring; Fitting Ideal; Torsionfree Module;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The core of a projective dimension one module is computed explicitly in terms of Fitting ideals. In particular, our formula recovers previous work by R. Mohan on integrally closed torsionfree modules over a two-dimensional regular local ring.
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页码：427 / 433
页数：6
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共 14 条
[1]  
Avramov undefined(1981)undefined J. Algebra 73 248-undefined
[2]  
Buchsbaum undefined(1977)undefined Algebra 47 231-undefined
[3]  
Corso undefined(2001)undefined Proc. Amer. Math. Soc. 129 1309-undefined
[4]  
Corso undefined(2001)undefined Math. Ann. 321 89-undefined
[5]  
Corso undefined(2002)undefined Trans. Amer. Math. Soc. 354 2579-undefined
[6]  
Eisenbud undefined(1973)undefined J. Algebra 27 278-undefined
[7]  
Eisenbud undefined(2003)undefined Amer. Math. Soc. 131 701-undefined
[8]  
Flenner undefined(1977)undefined Math. Ann. 229 97-undefined
[9]  
Grothendieck undefined(1995)undefined Publ. Math. IHES 24 1965-undefined
[10]  
Huneke undefined(1997)undefined Michigan Math. J. 42 193-undefined
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