Thick subcategories and virtually Gorenstein algebras

By Apostolos Beligiannis, Henning Krause. 2006

51 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fd432fc9a24faa31e17165cf55dc842d84031756

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. Chrysostomos Psaroudakis
4. Pu Zhang
5. J. Št’ovíček
6. Nan Gao
7. Mark Hovey
8. P. Ara

In Geometry and Topology

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. Chrysostomos Psaroudakis
4. Pu Zhang
5. J. Št’ovíček
6. Nan Gao
7. Mark Hovey
8. P. Ara

In Statistical and Nonlinear Physics

1. Xiao-Wu Chen
2. Apostolos Beligiannis
3. Pu Zhang
4. Chrysostomos Psaroudakis
5. Nan Gao

Citations in the corpus

• Gorenstein Homological Algebra of Artin Algebras (2017, background): “This report may be viewed as a preparation for reading the beautiful theory of virtually Gorenstein algebras developed in [15, 12, 13, 14].”
• On algebras of finite Cohen-Macaulay type (2011, background): “In particular we need in the sequel the following properties enjoyed by the class of virtually Gorenstein algebras, see [26, 28]:”