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 gr...
- Autores:
-
Macías-Díaz, Jorge Eduardo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2010
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/39801
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/39801
http://bdigital.unal.edu.co/29898/
- Palabra clave:
- Abelian group
Freeness
Hill's criterion
G(\aleph_0)-family
Purity
20K20
03E75
20K25
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| 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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