Almost disjoint pure subgroups of the Baer-Specker group

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We prove in ZFC that the Baer-Specker group Z^omega has 2^{aleph_1} non-free pure subgroups of cardinality aleph_1 which are almost disjoint: there is no non-free subgroup embeddable in any pair.

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http://salesiana.dossiersoluciones.com/handle/123456789/60909

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102057
 http://arxiv.org/abs/math/0102057
 Abelian groups and modules (Dublin, 1998), Trends in Mathematics, 225-230, Birkhauser, Basel, 1999

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arXiv