Global Gorenstein dimensions of polynomial rings and of direct product of rings
Bennis, D. ; Mahdou, N.
arXiv, 0712.0126 / Harvested from arXiv
Text on arXiv
In this paper, we extend the well-known Hilbert's syzygy theorem to the Gorenstein homological dimensions of rings. Also, we study the Gorenstein homological dimensions of direct product of rings, which gives examples of non-Noetherian rings of finite Gorenstein dimensions and infinite classical weak dimension.
Publié le : 2007-12-02
Classification:  Mathematics - Commutative Algebra 
@article{0712.0126,
     author = {Bennis, D. and Mahdou, N.},
     title = {Global Gorenstein dimensions of polynomial rings and of direct product
  of rings},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0712.0126}
}

Bennis, D.; Mahdou, N. Global Gorenstein dimensions of polynomial rings and of direct product
  of rings. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0712.0126/