Tilting modules and universal localization

被引：15

作者：

Huegel, Lidia Angeleri ^{[1
]}

Archetti, Maria ^{[2
]}

机构：

[1] Univ Verona, Dipartimento Informat, Settore Matemat, I-37134 Verona, Italy

[2] Univ Ca Foscari Venice, Dept Appl Math, I-30121 Venice, Italy

来源：

FORUM MATHEMATICUM | 2012年 / 24卷 / 04期

关键词：

Gabriel topology; tilting modules; universal localization; PERPENDICULAR CATEGORIES; DIVISIBLE MODULES;

D O I：

10.1515/FORM.2011.080

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that every tilting module of projective dimension one over a ring R is associated in a natural way to the universal localization R -> R-u at a set u of finitely presented modules of projective dimension one. We then investigate tilting modules of the form R-u circle plus R-u/R. Furthermore, we discuss the relationship between universal localization and the localization R -> Q(g) given by a perfect Gabriel topology g. Finally, we give some applications to Artin algebras and to Prufer domains.

引用

页码：709 / 731

页数：23

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