# 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.
• 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.
• Current version: 1997-03-23_10 (10p) published version (9p)
Bib entry
@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}
}