Direct summands of vector groups
Copyright policy )Direct summands of vector groups
Cartesian products of subgroups of the rationals are called vector groups. The author deals with the well-known problem whether the class of vector groups is closed under taking direct summands. The answer is yes in some special cases considered in recent years. The author provides a Lemma 2 (p. 207) which serves for the purpose to overcome a defective part in a proof of the problem given in his paper [Pac. J. Math. 117, 379-385 (1985; Zbl 0532.13007)]. Unfortunately, the Lemma is not correct. A counterexample will be published in [\textit{U. Albrecht}, ``A note on Countable Lattices of Types'' (in preparation)].
- University of Detroit Mercy United States
vector groups, Direct sums, direct products, etc. for abelian groups, Subgroups of abelian groups, Cartesian products of subgroups, direct summands
vector groups, Direct sums, direct products, etc. for abelian groups, Subgroups of abelian groups, Cartesian products of subgroups, direct summands
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