Thick subcategories and virtually Gorenstein algebras
Beligiannis, Apostolos ; Krause, Henning
Illinois J. Math., Tome 52 (2008) no. 1, p. 551-562 / Harvested from Project Euclid
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.
Publié le : 2008-05-15
Classification:  16G50,  18E30,  16E65
@article{1248355349,
     author = {Beligiannis, Apostolos and Krause, Henning},
     title = {Thick subcategories and virtually Gorenstein algebras},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 551-562},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248355349}
}
Beligiannis, Apostolos; Krause, Henning. Thick subcategories and virtually Gorenstein algebras. Illinois J. Math., Tome 52 (2008) no. 1, pp.  551-562. http://gdmltest.u-ga.fr/item/1248355349/