aleph_n-Free abelain group with no non-zero homomorphism Z

Details aleph_n-Free abelain group with no non-zero homomorphism Z aleph_n-Free abelain group with no non-zero homomorphism Z

2006-09-22

arxiv.org/abs/math/0609634v1

Mathematics

Logic

Scientific paper

For any natural n, we construct an aleph_n-free abelian groups which have few
homomorphisms to Z . For this we use ``aleph_n-free (n+1)-dimensional black
boxes''. The method is relevant to e.g. construction of aleph_n-free abelian
groups with a prescribed endomorphism ring.

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