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

2006/09/22 by Saharon Shelah, Shelah, Saharon · 1 citation
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Rings, Modules, and Algebras #math.GR #math.LO

paper · pdf · doi:10.48550/arxiv.math/0609634

published as Cubo 9 No. 2 (2007) 59--79

arxiv created 2006/09/22 · openalex publication_date 2006/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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• Quite free complicated abelian group, PCF and Black Boxes

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