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

引用

页码：821 / 833

页数：13

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