Large indecomposable modules over local rings

被引：5
|
作者：
Hassler, W.
Karr, R.
Klingler, L.
Wiegand, R. [1 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA
[3] Florida Atlantic Univ, Honors Coll, Jupiter, FL 33458 USA
[4] Karl Franzens Univ Graz, Inst Math & Wissensch Rechnen, A-8010 Graz, Austria
来源：
JOURNAL OF ALGEBRA | 2006年 / 303卷 / 01期
基金：
奥地利科学基金会;
关键词：
indecomposable module; torsion-free rank; dedekind-like ring;
D O I：
10.1016/j.jalgebra.2006.05.016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For commutative, Noetherian, local ring R of dimension one, we show that, if R is not a homomorphic image of a Dedekind-like ring, then R has indecomposable finitely generated modules that are free of arbitrary rank at each minimal prime. For Cohen-Macaulay ring R, this theorem was proved in [W. Hassler, R. Karr, L. Klingler, R. Wiegand, Indecomposable modules of large rank over Cohen-Macaulay local rings, Trans. Amer. Math. Soc., in press]; in this paper we handle the general case. (c) 2006 Elsevier Inc. All rights reserved.
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页码：202 / 215
页数：14
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