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

Saharon Shelah

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

Saharon Shelah

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Abstract

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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BibTeX RIS

Saharon Shelah. 2006-09-22. aleph_n-Free abelain group with no non-zero homomorphism Z. https://arxiv.org/abs/math/0609634

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