Chains of group localizations

Details Chains of group localizations Chains of group localizations

2009-12-03

arxiv.org/abs/0912.0582v1

Mathematics

Group Theory

5 pages

Scientific paper

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.

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