Mathematics – Rings and Algebras
Scientific paper
2006-08-29
Mathematics
Rings and Algebras
10 pages
Scientific paper
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.
Beligiannis Apostolos
Krause Henning
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