English

On a conjecture regarding nonstandard uniserial modules

Logic 2008-02-03 v1 Rings and Algebras

Abstract

We consider the question of which valuation domains (of cardinality aleph_1) have non-standard uniserial modules. We show that a criterion conjectured by Osofsky is independent of ZFC + GCH.

Cite

@article{arxiv.math/9308211,
  title  = {On a conjecture regarding nonstandard uniserial modules},
  author = {Paul C. Eklof and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9308211},
  year   = {2008}
}