
doi: 10.1007/bf01978566
Let k be a non-countable regular non-weakly compact cardinal. Assuming the axiom of constructibility V\(=L\) the author gives a construction of a family \(\{A_ i|\) \(i<2^ k\}\) of \(2^ k\) abelian torsion-free groups such that (i) any \(A_ i\) is of cardinality k and is k-separable (i.e. any subgroup of cardinality \(
k-separable abelian group, endomorphism ring, pure subgroup, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Endomorphism rings; matrix rings, Torsion-free groups, infinite rank, regular cardinal, Direct sums, direct products, etc. for abelian groups, endomorphisms, abelian torsion-free groups, \(V=L\), completely decomposable direct summand
k-separable abelian group, endomorphism ring, pure subgroup, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, Endomorphism rings; matrix rings, Torsion-free groups, infinite rank, regular cardinal, Direct sums, direct products, etc. for abelian groups, endomorphisms, abelian torsion-free groups, \(V=L\), completely decomposable direct summand
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