Sh:617

• Eklof, P. C., Huisgen-Zimmermann, B., & Shelah, S. (1997). Torsion modules, lattices and p-points. Bull. London Math. Soc., 29(5), 547–555. arXiv: math/9703221 DOI: 10.1112/S0024609397003329 MR: 1458714
• Abstract:
  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\ne 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.
• Version 1997-03-23_10 (10p) published version (9p)

@article{Sh:617,
 author = {Eklof, Paul C. and Huisgen-Zimmermann, Birge and Shelah, Saharon},
 title = {{Torsion modules, lattices and $p$-points}},
 journal = {Bull. London Math. Soc.},
 fjournal = {The Bulletin of the London Mathematical Society},
 volume = {29},
 number = {5},
 year = {1997},
 pages = {547--555},
 issn = {0024-6093},
 mrnumber = {1458714},
 mrclass = {16U20 (03E05 06A23 13C12)},
 doi = {10.1112/S0024609397003329},
 note = {\href{https://arxiv.org/abs/math/9703221}{arXiv: math/9703221}},
 arxiv_number = {math/9703221}
}