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Thick subcategories and virtually Gorenstein algebras

Apostolos Beligiannis·Henning Krause
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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.

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Apostolos Beligiannis, Henning Krause. 2006-08-29. Thick subcategories and virtually Gorenstein algebras. https://arxiv.org/abs/math/0608710

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