Thick subcategories and virtually Gorenstein algebras
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- August 2006
- DOI:
- 10.48550/arXiv.math/0608710
- arXiv:
- arXiv:math/0608710
- Bibcode:
- 2006math......8710B
- Keywords:
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- Mathematics - Rings and Algebras;
- Mathematics - Representation Theory
- E-Print:
- 10 pages