Gorenstein injective dimension, Bass formula and Gorenstein rings
| dc.creator | Khatami, Leila | |
| dc.creator | Yassemi, Siamak | |
| dc.date | 2003-12-31 | |
| dc.date | 2004-06-01 | |
| dc.date.accessioned | 2026-07-07T05:04:17Z | |
| dc.date.available | 2026-07-07T05:04:17Z | |
| dc.description | Let $(R,\frak m, k)$ be a noetherian local ring. It is well-known that $R$ is regular if and only if the injective dimension of $k$ is finite. In this paper it is shown that $R$ is Gorenstein if and only if the Gorenstein injective dimension of $k$ is finite. On the other hand a generalized version of the so-called Bass formula is proved for finitely generated modules of finite Gorenstein injective dimension. It also improves Christensen's generalized Bass formula (cf. "Gorenstein dimensions", volume 1747 of Lecture Notes in Mathematics, Springer-Verlag, Berlin, 2000). | |
| dc.description | 13 pages, Main theorem in section 3 generalized, with new corollaries | |
| dc.identifier | https://arxiv.org/abs/math/0312513 | |
| dc.identifier | http://arxiv.org/abs/math/0312513 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69745 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D05; 13H10 | |
| dc.title | Gorenstein injective dimension, Bass formula and Gorenstein rings | |
| dc.type | text |