TY - JOUR
T1 - Ultrafilters and partial products of infinite cyclic groups
AU - Blass, Andreas
AU - Shelah, Saharon
PY - 2005
Y1 - 2005
N2 - 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.
AB - 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.
KW - Abelian groups
KW - Embeddings of groups
KW - Products of groups
KW - Ultra filter
UR - http://www.scopus.com/inward/record.url?scp=27944440877&partnerID=8YFLogxK
U2 - 10.1081/AGB-200063355
DO - 10.1081/AGB-200063355
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AN - SCOPUS:27944440877
SN - 0092-7872
VL - 33
SP - 1997
EP - 2007
JO - Communications in Algebra
JF - Communications in Algebra
IS - 6
ER -