Geodesic
On Pure-High Subgroups of Abelian Groups
Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 479-482

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Fuchs, in [3], problem 14, proposes the study of pure-high subgroups of an abelian group. In this paper we show that in abelian torsion groups, pure-high subgroups are also high. A natural problem arises, that of characterizing the pure-absolute summands. We show that this concept is the same as absolute summands in torsion groups, but that it is more general in mixed abelian groups. There is a definite connection between the existence of pure TV-high subgroups and the splitting of mixed groups. The notation is that of [3]. 
Benabdallah, K. On Pure-High Subgroups of Abelian Groups. Canadian mathematical bulletin, Tome 17 (1974) no. 4, pp. 479-482. doi: 10.4153/CMB-1974-084-3
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     title = {On {Pure-High} {Subgroups} of {Abelian} {Groups}},
     journal = {Canadian mathematical bulletin},
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     year = {1974},
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     number = {4},
     doi = {10.4153/CMB-1974-084-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-084-3/}
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