Thick subcategories and virtually Gorenstein algebras
Rings and Algebras
2007-05-23 v1 Representation Theory
Abstract
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.
Cite
@article{arxiv.math/0608710,
title = {Thick subcategories and virtually Gorenstein algebras},
author = {Apostolos Beligiannis and Henning Krause},
journal= {arXiv preprint arXiv:math/0608710},
year = {2007}
}
Comments
10 pages