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Titlebook: Exercises in Abelian Group Theory; Grigore Călugăreanu,Simion Breaz,Dumitru Vălcan Book 2003 Springer Science+Business Media Dordrecht 200

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B. F. McGuinness,Friedrich Waismann†A subgroup . of a group . is called pure if . = . ∩ . for all . ∈ .. A subgroup . of a, group . is called . (. ∈ .) if ... = . ∩ ... for all . ∈ .. Clearly a .-pure .-subgroup of a group is pure.
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P. V. S. Rao,Sunil Kumar KopparapuA mixed group . (. is a . ) if there exists a direct decomposition . with . a torsion-free group. . is called a . if it has a bounded index subgroup which splits. We mention the following results:
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Basic notionsThroughout this book by a group . we an mean . (i.e., commutative) group using for the binary operation the additive notation. The . is the cardinal number |.| of the set of its elements. If |.| is a finite (countable) cardinal number then . is called a ..
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Homological methodsA . consists, by definition, of the following data:
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