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

Saharon Shelah

math.LOarXiv:math/0609634

Abstract

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

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