Explicitly nonstandard uniserial modules
逻辑
2009-09-25 v1 环与代数
摘要
A new construction is given of non-standard uniserial modules over certain valuation domains; the construction resembles that of a special Aronszajn tree in set theory. A consequence is the proof of a sufficient condition for the existence of non-standard uniserial modules; this is a theorem of ZFC which complements an earlier independence result.
引用
@article{arxiv.math/9301207,
title = {Explicitly nonstandard uniserial modules},
author = {Paul C. Eklof and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9301207},
year = {2009}
}