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Mixed Abelian groups as modules over their endomorphism rings. (Russian. English summary) Zbl 1019.20023
Mixed Abelian groups $$A$$ are studied as left modules over their endomorphism rings $$E(A)$$. The main results are: (i) the torsion part $$T(A)$$ is flat over $$E(A)$$ iff each $$p$$-primary component of $$A$$ is either bounded or admits an unbounded basic subgroup, (ii) if $$A$$ is a pure subgroup of the direct product of its $$p$$-primary components then $$E(A)$$-flat [-projective] dimensions of $$A$$ and $$A/T(A)$$ are equal [if $$A$$ is not $$E(A)$$-projective].

##### MSC:
 20K30 Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups 20K40 Homological and categorical methods for abelian groups 20K21 Mixed groups
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