G-dimension over local homomorphisms. Applications to the Frobenius endomorphism
| dc.creator | Iyengar, Srikanth | |
| dc.creator | Sather-Wagstaff, Sean | |
| dc.date | 2003-03-20 | |
| dc.date | 2004-03-22 | |
| dc.date.accessioned | 2026-07-07T04:56:15Z | |
| dc.date.available | 2026-07-07T04:56:15Z | |
| dc.description | We develop a theory of G-dimension for modules over local homomorphisms which encompasses the classical theory of G-dimension for finite modules over local rings. As an application, we prove that a local ring R of characteristic p is Gorenstein if and only if it possesses a nonzero finite module of finite projective dimension that has finite G-dimension when considered as an R-module via some power of the Frobenius endomorphism of R. We also prove results that track the behavior of Gorenstein properties of local homomorphisms under (de)composition. | |
| dc.description | 31 pages, uses Xy-pic | |
| dc.identifier | https://arxiv.org/abs/math/0303265 | |
| dc.identifier | http://arxiv.org/abs/math/0303265 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66853 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13D05, 13D25, 13B10, 13H10, 14B25 | |
| dc.title | G-dimension over local homomorphisms. Applications to the Frobenius endomorphism | |
| dc.type | text |