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arXiv:math/0609634 [math.LO]AbstractReferencesReviewsResources

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

Saharon Shelah

Published 2006-09-22Version 1

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.

Categories: math.LO, math.GR
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