Absolutely rigid systems and absolutely indecomposable groups
Logic
2007-05-23 v1 Rings and Algebras
Abstract
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).
Keywords
Cite
@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}
}