Torsion modules, lattices and p-points
| dc.creator | Eklof, Paul C. | |
| dc.creator | Huisgen--Zimmermann, Birge | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1997-03-15 | |
| dc.date.accessioned | 2026-07-07T09:15:45Z | |
| dc.date.available | 2026-07-07T09:15:45Z | |
| dc.description | Answering a long-standing question in the theory of torsion modules, we show that weakly productively bounded domains are necessarily productively bounded. Moreover, we prove a twin result for the ideal lattice L of a domain equating weak and strong global intersection conditions for families (X_i)_{i in I} of subsets of L with the property that bigcap_{i in I} A_i not= 0 whenever A_i in X_i. Finally, we show that, for domains with Krull dimension (and countably generated extensions thereof), these lattice-theoretic conditions are equivalent to productive boundedness. | |
| dc.identifier | https://arxiv.org/abs/math/9703221 | |
| dc.identifier | http://arxiv.org/abs/math/9703221 | |
| dc.identifier | Bull. London Math. Soc. 29 No. 5 (1997) 547--555 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153120 | |
| dc.subject | Logic | |
| dc.subject | Rings and Algebras | |
| dc.title | Torsion modules, lattices and p-points | |
| dc.type | text |