Transfer of Gorenstein dimensions along ring homomorphisms
Christensen, Lars Winther ; Sather-Wagstaff, Sean
arXiv, 0807.0706 / Harvested from arXiv
Text on arXiv
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings is to find resolution-free characterizations of the modules for which these invariants are finite. Over local rings, this problem was recently solved for the Gorenstein flat and the Gorenstein projective dimensions; here we give a solution for the Gorenstein injective dimension. Moreover, we establish two formulas for the Gorenstein injective dimension of modules in terms of the depth invariant; they extend formulas for the injective dimension due to Bass and Chouinard.
Publié le : 2008-07-04
Classification:  Mathematics - Commutative Algebra,  13D05, 13D07, 13D25 
@article{0807.0706,
     author = {Christensen, Lars Winther and Sather-Wagstaff, Sean},
     title = {Transfer of Gorenstein dimensions along ring homomorphisms},
     journal = {arXiv},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0807.0706}
}

Christensen, Lars Winther; Sather-Wagstaff, Sean. Transfer of Gorenstein dimensions along ring homomorphisms. arXiv, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/0807.0706/