Nunke’s problem for abelian -groups of uncountable length
Patrick W. Keef
Whitman College, Walla Walla, USA
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Abstract
Nunke's problem asks when the torsion product of two abelian -groups is a direct sum of countable reduced groups. In previous work the author gave a complete answer to this question when the groups involved have countable length. In this paper a complete answer is given in the case of groups of uncountable length, at least in any set-theoretic universe in which .
Cite this article
Patrick W. Keef, Nunke’s problem for abelian -groups of uncountable length. Rend. Sem. Mat. Univ. Padova 139 (2018), pp. 261–281
DOI 10.4171/RSMUP/139-11