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A non-reflexive Whitehead group

逻辑 2007-05-23 v1 交换代数 环与代数

摘要

We prove that it is consistent that there is a non-reflexive Whitehead group, in fact one whose dual group is free. We also prove that it is consistent that there is a group A such that Ext(A,Z) is torsion and Hom(A,Z)=0. As an application we show the consistency of the existence of new co-Moore spaces.

引用

@article{arxiv.math/9908157,
  title  = {A non-reflexive Whitehead group},
  author = {Paul C. Eklof and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9908157},
  year   = {2007}
}