A model structure approach to the finitistic dimension conjectures

被引：12
|
作者：
Cortes Izurdiaga, M. [1 ]
Estrada, S. [2 ]
Guil Asensio, P. A. [3 ]
机构：
[1] Univ Almeria, Dept Agebra & Anal Matemat, Almeria 04071, Spain
[2] Univ Murcia, Dept Matemat Aplicada, Espinardo 30100, Murcia, Spain
[3] Univ Murcia, Dept Matemat, Espinardo 30100, Murcia, Spain
来源：
MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 07期
关键词：
Finitistic conjectures; model categories; relative dimensions; MSC (2010) Primary: 16D90; 16E30; Secondary: 55U35; 18G35; QUASI-COHERENT SHEAVES; COTORSION PAIRS; CATEGORY;
D O I：
10.1002/mana.201000116
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We explore the interlacing between model category structures attained to classes of modules of finite chi-dimension, for certain classes of modules chi. As an application we give a model structure approach to the finitistic dimension conjectures and present a new conceptual framework in which these conjectures can be studied. (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：821 / 833
页数：13
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