Switch to: References

Citations of:

Kaplansky's Problem on Valuation RingsA Transfer Theorem for Nonstandard UniserialsOn a Conjecture regarding Nonstandard Uniserial ModulesExplicitly Non-Standard Uniserial Modules

Birge Huisgen-Zimmermann, Laszlo Fuchs, Saharon Shelah, Paul C. Eklof, P. C. Eklof & S. Shelah

Bulletin of Symbolic Logic 8 (3):441 (2002)

Add citations

You must login to add citations.

Interpreting modules in modules.Mike Prest - 1997 - Annals of Pure and Applied Logic 88 (2-3):193-215.details Rings which, from the ring-theoretic point of view, are very different may well have categories of modules which are extremely similar. More generally, the category of modules over a ring may contain many other categories of modules. Ideas from model theory are of use in elucidating this state of affairs. In particular we investigate the model-theoretic effect of tilting functors between categories of modules. Download Export citation Bookmark
Model theory of modules over a serial ring.Paul C. Eklof & Ivo Herzog - 1995 - Annals of Pure and Applied Logic 72 (2):145-176.details We use the Drozd-Warfield structure theorem for finitely presented modules over a serial ring to investigate the model theory of modules over a serial ring, in particular, to give a simple description of pp-formulas and to classify the pure-injective indecomposable modules. We also study the question of whether every pure-injective indecomposable module over a valuation ring is the hull of a uniserial module. Download Export citation Bookmark 4 citations

1