THICK SUBCATEGORIES AND VIRTUALLY GORENSTEIN ALGEBRAS

被引：35

作者：

Beligiannis, Apostolos ^{[1
]}

Krause, Henning ^{[2
]}

机构：

[1] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece

[2] Univ Gesamthsch Paderborn, Inst Math, D-33095 Paderborn, Germany

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2008年 / 52卷 / 02期

关键词：

D O I：

10.1215/ijm/1248355349

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An Artin algebra is by definition virtually Gorenstein if the class of modules which are right orthogonal (with respect to Ext* (-, -)) to all Gorenstein projective modules coincides with the class of modules which are left orthogonal to all Gorenstein injective modules. We provide a new characterization in terms of finitely generated modules. In addition, an example of an algebra is presented which is not virtually Gorenstein.

引用

页码：551 / 562

页数：12

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