Thick subcategories and virtually Gorenstein algebras

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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.
10 pages

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Rings and Algebras, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/115600

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0608710
 http://arxiv.org/abs/math/0608710

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arXiv