Sh:883

• Shelah, S. (2007). \aleph_n-free abelian group with no non-zero homomorphism to \mathbb Z. Cubo, 9(2), 59–79. arXiv: math/0609634 MR: 2354353
• Abstract:
  For any natural n, we construct an \aleph_n-free abelian groups which have few homomorphisms to \mathbb 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.
• Version 2009-03-05_10 (27p) published version (21p)

@article{Sh:883,
 author = {Shelah, Saharon},
 title = {{$\aleph_n$-free abelian group with no non-zero homomorphism to $\mathbb Z$}},
 journal = {Cubo},
 fjournal = {Cubo. A Mathematical Journal},
 volume = {9},
 number = {2},
 year = {2007},
 pages = {59--79},
 issn = {0716-7776},
 mrnumber = {2354353},
 mrclass = {03E75 (20K20 20K30)},
 note = {\href{https://arxiv.org/abs/math/0609634}{arXiv: math/0609634}},
 arxiv_number = {math/0609634}
}