Pure-injective hulls of modules over valuation rings
| dc.creator | Couchot, Francois | |
| dc.date | 2004-11-22 | |
| dc.date | 2006-09-07 | |
| dc.date.accessioned | 2026-07-07T06:39:03Z | |
| dc.date.available | 2026-07-07T06:39:03Z | |
| dc.description | If $\hat{R} is the pure-injective hull of a valuation ring $R$, it is proved that $\hat{R}\otimes\_RM$ is the pure-injective of $M$, for each finitely generated module $M$. Moreover, $\hat{R}\otimes\_RM\simeq\oplus\_{1\leq k\leq n}\hat{R}/A\_k\hat{R}$, where $A\_1,...,A\_n$ is the annihilator sequence of $M$. The pure-injective hulls of uniserial or polyserial modules are also investigated. Any two pure-composition series of a countably generated polyserial module are isomorphic. | |
| dc.identifier | https://arxiv.org/abs/math/0411482 | |
| dc.identifier | http://arxiv.org/abs/math/0411482 | |
| dc.identifier | Journal of Pure and Applied Algebra 207 (2006) 63--76 | |
| dc.identifier | doi:10.1016/j.jpaa.2005.09.002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100950 | |
| dc.subject | Rings and Algebras | |
| dc.subject | MSC 13F30 | |
| dc.title | Pure-injective hulls of modules over valuation rings | |
| dc.type | text |