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This article is cited in 2 scientific papers (total in 2 papers)
Certain classes of Abelian groups
V. S. Rokhlina
Abstract:
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.
Received: 18.12.1969
Citation:
V. S. Rokhlina, “Certain classes of Abelian groups”, Mat. Sb. (N.S.), 83(125):2(10) (1970), 214–221; Math. USSR-Sb., 12:2 (1970), 213–220
Linking options:
https://www.mathnet.ru/eng/sm3508https://doi.org/10.1070/SM1970v012n02ABEH000917 https://www.mathnet.ru/eng/sm/v125/i2/p214
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Abstract page: | 212 | Russian version PDF: | 61 | English version PDF: | 2 | References: | 28 |
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