Beyond Totally Reflexive Modules and Back
Christensen, Lars Winther ; Foxby, Hans-Bjørn ; Holm, Henrik
arXiv, 0812.3807 / Harvested from arXiv
Text on arXiv
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein homological dimensions for modules over commutative rings. The account includes the theory's connections with relative homological algebra and with studies of local ring homomorphisms. It ends close to the starting point: with a characterization of Gorenstein rings in terms of total acyclicity of complexes.
Publié le : 2008-12-19
Classification:  Mathematics - Commutative Algebra,  13-02,  13B10,  13D05,  13H10,  18G25 
@article{0812.3807,
     author = {Christensen, Lars Winther and Foxby, Hans-Bj\o rn and Holm, Henrik},
     title = {Beyond Totally Reflexive Modules and Back},
     journal = {arXiv},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0812.3807}
}

Christensen, Lars Winther; Foxby, Hans-Bjørn; Holm, Henrik. Beyond Totally Reflexive Modules and Back. arXiv, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/0812.3807/