Geodesic
On (weak) Gorenstein global dimensions
Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 285-296 
N. Mahdou; M. Tamekkante; N. Mahdou; M. Tamekkante. On (weak) Gorenstein global dimensions. Acta mathematica Universitatis Comenianae, Tome 82 (2013) no. 2, pp. 285-296. http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a11/
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     title = { On (weak) {Gorenstein} global dimensions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {285--296},
     year = {2013},
     volume = {82},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2013_82_2_a11/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this note, we characterize the (weak) Gorenstein global dimension for arbitrary associative rings. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein global dimension, and we study the weak Gorenstein homological dimensions of direct product of rings which gives examples of non-coherent rings with finite Gorenstein dimensions > 0 and infinite classical weak dimension.