# Sh:854

- Blass, A. R., & Shelah, S. (2005).
*Ultrafilters and partial products of infinite cyclic groups*. Comm. Algebra,**33**(6), 1997–2007. arXiv: math/0504199 DOI: 10.1081/AGB-200063355 MR: 2150855 -
Abstract:

We consider, for infinite cardinals \kappa and \alpha\leq\kappa^+, the group \Pi(\kappa,<\alpha) of sequences of integers, of length \kappa, with non-zero entries in fewer than \alpha positions. Our main result tells when \Pi(\kappa,<\alpha) can be embedded in \Pi(\lambda,<\beta). The proof involves some set-theoretic results, one about familes of finite sets and one about families of ultrafilters. - published version (12p)

Bib entry

@article{Sh:854, author = {Blass, Andreas R. and Shelah, Saharon}, title = {{Ultrafilters and partial products of infinite cyclic groups}}, journal = {Comm. Algebra}, fjournal = {Communications in Algebra}, volume = {33}, number = {6}, year = {2005}, pages = {1997--2007}, issn = {0092-7872}, mrnumber = {2150855}, mrclass = {20K20 (03E05 03E10 20K25)}, doi = {10.1081/AGB-200063355}, note = {\href{https://arxiv.org/abs/math/0504199}{arXiv: math/0504199}}, arxiv_number = {math/0504199} }