Services on Demand
Journal
Article
Indicators
Cited by SciELO
Access statistics
Related links
Cited by Google
Similars in SciELO
Similars in Google
Share
Revista Colombiana de Matemáticas
Print version ISSN 0034-7426
Abstract
MACIAS-DIAZ, JORGE EDUARDO. An Alternative Proof of Hill's Criterion of Freeness for Abelian Groups. Rev.colomb.mat. [online]. 2010, vol.44, n.1, pp.59-64. ISSN 0034-7426.
In this note we provide a different proof of Hill's criteria of freeness for abelian groups. Our proof hinges on the construction of suitable G(ℵ0)-families of subgroups of the links in Hill's theorem and, ultimately, on the construction of such a family of pure subgroups of the group itself.
Keywords : Abelian group; Freeness; Hill's criterion; G(\aleph0)-family; Purity.