## Abelian GroupsThis volume contains information offered at the international conference held in Curacao, Netherlands Antilles. It presents the latest developments in the most active areas of abelian groups, particularly in torsion-free abelian groups.;For both researchers and graduate students, it reflects the current status of abelian group theory.;Abelian Groups discusses: finite rank Butler groups; almost completely decomposable groups; Butler groups of infinite rank; equivalence theorems for torsion-free groups; cotorsion groups; endomorphism algebras; and interactions of set theory and abelian groups.;This volume contains contributions from international experts. It is aimed at algebraists and logicians, research mathematicians, and advanced graduate students in these disciplines. |

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### Contents

Section 1 | 1 |

Section 2 | 17 |

Section 3 | 43 |

Section 4 | 55 |

Section 5 | 61 |

Section 6 | 65 |

Section 7 | 79 |

Section 8 | 97 |

Section 16 | 167 |

Section 17 | 175 |

Section 18 | 179 |

Section 19 | 181 |

Section 20 | 193 |

Section 21 | 198 |

Section 22 | 201 |

Section 23 | 209 |

Section 9 | 102 |

Section 10 | 105 |

Section 11 | 111 |

Section 12 | 129 |

Section 13 | 140 |

Section 14 | 151 |

Section 15 | 157 |

Section 24 | 219 |

Section 25 | 229 |

Section 26 | 241 |

Section 27 | 247 |

Section 28 | 253 |

Section 29 | 259 |

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### Common terms and phrases

Abelian Group Theory Amer assume automorphism Butler groups C+(U cardinality commutative completely decomposable groups construction Corollary cotorsion-free left cotrimmed countable critical typeset cyclic decomposition define denote dimension direct sum direct summand Dugas elements endomorphism ring equivalent exact sequence example exists finite posets finite rank Butler flat free group Fuchs G and G Gobel group G group theory height Hence homomorphism ideal implies induced isomorphism isomorphism invariants left fl-module Lemma Let G Math Mathematics matrix minimal modules Moreover p-group partially ordered sets poset precobalanced problem Proc Proof Proposition pure injective pure subgroup QE(H quasi-isomorphic quasi-summand quotient R-module rank Butler groups regulating subgroups Rep(S result semi-endomorphal simply presented split sequences strongly indecomposable subgroup H subgroup of G submodule subset subspace Suppose Theorem topology torsion torsion-free abelian groups torsion-free group torsionless uniserial University valuation domain vector space Vinsonhaler