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Showing papers on "Torsion-free abelian group published in 1998"


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TL;DR: In this paper, it was shown that there is no universal reduced separable abelian p-group in lambda if aleph ∆ = lambda ∆ ∆ < 2.
Abstract: We prove that if mu^+< lambda =cf(lambda)< mu^{aleph_0}, then there is no universal reduced torsion free abelian group. Similarly if aleph_0< lambda < 2^{aleph_0}. We also prove that if 2^{aleph_0}< mu^+< lambda =cf(lambda)< mu^{aleph_0}, then there is no universal reduced separable abelian p-group in lambda. (Note: both results fail if lambda = lambda^{aleph_0} or if lambda is strong limit, cf (mu)= aleph_0< mu).

1 citations