# 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. - published version (21p)

Bib entry

@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}, mrclass = {03E75 (20K20 20K30)}, mrnumber = {2354353}, mrreviewer = {Lutz Struengmann}, note = {\href{https://arxiv.org/abs/math/0609634}{arXiv: math/0609634}}, arxiv_number = {math/0609634} }