An alternative proof of hill's criterion of freeness for abelian groups
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 $G(\aleph_0)$-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...
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2010 |
| Country: | Colombia |
| Institution: | Universidad Nacional de Colombia |
| Repository: | Repositorio UN |
| Language: | Spanish |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/39801 |
| Online Access: | https://repositorio.unal.edu.co/handle/unal/39801 http://bdigital.unal.edu.co/29898/ |
| Access Level: | Open access |
| Keyword: | Abelian group Freeness Hill's criterion G(\aleph_0)-family Purity 20K20 03E75 20K25 |
| Summary: | 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 $G(\aleph_0)$-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. |
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