Local cohomology modules with infinite dimensional socles

被引：9

作者：

Marley, T ^{[1
]}

Vassilev, JC

机构：

[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

[2] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 132卷 / 12期

关键词：

local cohomology;

D O I：

10.1090/S0002-9939-04-07658-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the following generalization of a result of Hartshorne: Let T be a commutative Noetherian local ring of dimension at least two, R = T[x(1),...,x(n)], and I = (x(1),...,x(n)). Let f be a homogeneous element of R such that the coefficients of f form a system of parameters for T. Then the socle of H-I(n) (R/fR) is infinite dimensional.

引用

页码：3485 / 3490

页数：6

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