Geodesic
Certain classes of Abelian groups
Sbornik. Mathematics, Tome 12 (1970) no. 2, pp. 213-220

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The notions of $\varepsilon$-purity, $\varepsilon$-injectivity, and $\varepsilon$-projectivity are introduced as generalizations of the notions of purity, injectivity, and projectivity in the theory of Abelian groups. The basic result is a description of the $\varepsilon$-purity of the classes of all $\varepsilon$-injective and $\varepsilon$-projective Abelian groups (Propositions 1–6). There is also a description of the classes of $\varepsilon$-divisible and $\varepsilon$-flat Abelian groups. Bibliography: 7 titles. 
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     author = {V. S. Rokhlina},
     title = {Certain classes of {Abelian} groups},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {1970},
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V. S. Rokhlina. Certain classes of Abelian groups. Sbornik. Mathematics, Tome 12 (1970) no. 2, pp. 213-220. http://geodesic.mathdoc.fr/item/SM_1970_12_2_a3/