中文

Whitehead modules over large principal ideal domains

逻辑 2007-05-23 v1 环与代数

摘要

We consider the Whitehead problem for principal ideal domains of large size. It is proved, in ZFC, that some p.i.d.'s of size >= aleph_{2} have non-free Whitehead modules even though they are not complete discrete valuation rings.

关键词

引用

@article{arxiv.math/0011230,
  title  = {Whitehead modules over large principal ideal domains},
  author = {Paul C. Eklof and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/0011230},
  year   = {2007}
}