On liftable and weakly liftable modules
| dc.creator | Dao, Hailong | |
| dc.date | 2007-01-30 | |
| dc.date.accessioned | 2026-07-07T07:43:53Z | |
| dc.date.available | 2026-07-07T07:43:53Z | |
| dc.description | Let $T$ be a Noetherian ring and $f$ a nonzerodivisor on $T$. We study concrete necessary and sufficient conditions for a module over $R=T/(f)$ to be weakly liftable to $T$, in the sense of Auslander, Ding and Solberg. We focus on cyclic modules and get various positive and negative results on the lifting and weak lifting problems. For a module over $T$ we define the loci for certain properties: liftable, weakly liftable, having finite projective dimension and study their relationships. | |
| dc.identifier | https://arxiv.org/abs/math/0701884 | |
| dc.identifier | http://arxiv.org/abs/math/0701884 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122998 | |
| dc.subject | Commutative Algebra | |
| dc.title | On liftable and weakly liftable modules | |
| dc.type | text |