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On Special Balanced Subgroups Of Torsionfree Separable Abelian Groups
Abelian Groups Finitely Generated Over Their Endomorphism Rings
Relations Between Horn Ext And Tensor Product For Certain Categories
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algebraically compact assume B.-group basic subgroup Butler group cardinality cokernel completely decomposable group condition contains Corollary cotorsion decomposition basis defined definition denote diagram direct sum direct summand discrete valuation ring endomorphism ring epimorphism equivalent exact sequence exists extensions finite rank torsion finite subset finitely E-generated free abelian groups Fuchs full-rank group G group of finite Hence homomorphism ideal induction Infinite Abelian Groups injective integers irreducible isomorphic isotype kernel Lemma Let G limit ordinal Math maximal nice subgroup nice system nonzero p-adic p-adic integers p-basis p-groups p-pure p-rank prime Proof Proposition prove pure subgroup quasi-isomorphic quotient R-module rank torsion free reduced group regulating subgroup result satisfies simply presented module slender groups strongly balanced strongly indecomposable subgroup of G submodule Suppose Theorem theory torsion free abelian torsion free group torsion-free torsion-free rank totally projective typeset(A Ulm invariants valuated group Warfield