Absolutely rigid systems and absolutely indecomposable groups
逻辑
2007-05-23 v1 环与代数
摘要
We give a new proof that there are arbitrarily large indecomposable abelian groups; moreover, the groups constructed are absolutely indecomposable, that is, they remain indecomposable in any generic extension. However, any absolutely rigid family of groups has cardinality less than the partition cardinal kappa(omega).
引用
@article{arxiv.math/0010264,
title = {Absolutely rigid systems and absolutely indecomposable groups},
author = {Paul C. Eklof and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0010264},
year = {2007}
}