%0 Journal Article
%T An Alternative Proof of Hill's Criterion of Freeness for Abelian Groups
%A MAC¨ªAS-D¨ªAZ
%A JORGE EDUARDO
%J Revista Colombiana de Matem¨¢ticas
%D 2010
%I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas
%X 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(£¿0)-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.
%K abelian group
%K freeness
%K hill's criterion
%K g(\aleph0)-family
%K purity.
%U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262010000100005&lng=en&nrm=iso&tlng=en