Ultrafilters and partial products of infinite cyclic groups

Andreas Blass*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We consider, for infinite cardinals κ and α le; κ+, the group Π(κ, <α) of sequences of integers, of length κ, with nonzero entries in fewer than α positions. Our main result tells when Π(κ, <α) can be embedded in Π(λ, <β). The proof involves some set-theoretic results, one about families of finite sets and one about families of ultrafilters.

Original languageEnglish
Pages (from-to)1997-2007
Number of pages11
JournalCommunications in Algebra
Volume33
Issue number6
DOIs
StatePublished - 2005

Keywords

  • Abelian groups
  • Embeddings of groups
  • Products of groups
  • Ultra filter

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