Chains of group localizations
Group Theory
2009-12-04 v1 Category Theory
Abstract
We construct long sequences of localization functors L_a in the category of abelian groups such that L_a > L_b for infinite cardinals a < b less than some k. For sufficiently large free abelian groups F and a < b we have proper inclusions of L_aF into L_bF.
Keywords
Cite
@article{arxiv.0912.0582,
title = {Chains of group localizations},
author = {Adam J. Przezdziecki},
journal= {arXiv preprint arXiv:0912.0582},
year = {2009}
}
Comments
5 pages