Modules of G-dimension zero over local rings with the cube of maximal ideal being zero
| dc.creator | Yoshino, Yuji | |
| dc.date | 2003-03-07 | |
| dc.date.accessioned | 2026-07-07T04:55:51Z | |
| dc.date.available | 2026-07-07T04:55:51Z | |
| dc.description | Let $(R, \m)$ be a commutative Noetherian local ring with $\m^3 =(0)$. We give a condition for $R$ to have a non-free module of G-dimension zero. We shall also construct a family of non-isomorphic indecomposable modules of G-dimension zero with parameters in an open subset of projective space. We shall finally show that the subcategory consisting of modules of G-dimension zero over $R$ is not necessarily a contravariantly finite subcategory in the category of finitely generated $R$-modules. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/0303086 | |
| dc.identifier | http://arxiv.org/abs/math/0303086 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66722 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13C14, 13D05, 16G50 | |
| dc.title | Modules of G-dimension zero over local rings with the cube of maximal ideal being zero | |
| dc.type | text |