R-SUPPORTS IN TENSOR TRIANGULATED CATEGORIES

被引：0

作者：

Garkusha, Grigory ^{[1
]}

机构：

[1] Swansea Univ, Dept Math, Swansea SA2 8PP, W Glam, Wales

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2010年 / 9卷 / 06期

关键词：

Compactly generated tensor triangulated categories; supports; thick subcategories; SUBCATEGORIES; MODULES; COMPLEXES; VARIETIES; SCHEMES;

D O I：

10.1142/S0219498810004361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Various authors classified the thick triangulated circle times-subcategories of the category of compact objects for appropriate compactly generated tensor triangulated categories by using supports of objects. In this paper we introduce R-supports for ring objects, showing that these completely determine the thick triangulated circle times-subcategories. R-supports give a general framework for the celebrated classification theorems by Benson-CarlsonRickard- Friedlander-Pevtsova, Hopkins-Smith and Hopkins-Neeman-Thomason.

引用

页码：1001 / 1014

页数：14

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