Showing papers on "Torsion-free abelian group published in 1979"
TL;DR: In this paper, the cardinality of the type set of a rank two torsion-free abelian group is shown to be at most three elements, assuming that the group supports a non-trivial associative ring.
Abstract: In this paper we generalize a recent result of Freedman (1973) concerning the cardinality of the type set of a rank two torsion-free abelian group. We show that if A is such a group and A supports a non-trivial associative ring then the type set of A contains at most three elements.
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