## Abelian Groups and ModulesContains the proceedings of an international conference on abelian groups and modules held recently in Colorado Springs. Presents the latest developments in abelian groups that have facilitated cross-fertilization of new techniques from diverse areas such as the representation theory of posets, model theory, set theory, and module theory. |

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### Contents

Amold and M Dugas | 15 |

Fuchs | 43 |

P Keef | 65 |

Simson | 109 |

RESEARCH ARTICLES | 123 |

A Strong Stacked Bases Theorem for Finite Rank HCD Groups | 143 |

Families of Preseparative Suhgroups | 149 |

Bican | 162 |

On Transitive Mixed Ahelian Groups | 243 |

Extensions of Finitely Faithful SGroups | 273 |

P Hill and W Ullery | 290 |

A New Proof for a Theorem of Muller and Singh | 303 |

On Maximal Suhgroups of the Semigroup of Nonneg itive Matrices | 305 |

Balanced Suhgroups of Completely Decomposahle Groups | 331 |

Summahle Suhsets of Direct Products of Infinite Cyclic Groups | 353 |

Two Prohlems of Ziegler and Uniform Modules Over Regular Rings | 373 |

On the Group of Eventually Divisihle Integer Sequences | 181 |

Primes and Completions of Right Chain Rings | 203 |

J Dauns | 224 |

A oCharacterixation of Some Small Totally Prpjective Groups | 393 |

W Wickless | 410 |

### Common terms and phrases

acd groups ahelian groups ahove Algehra arhitrary artinian assume automorphism Axiom B2-group Butler groups cardinality characterixation completely decomposahle group condition construction contains Corollary countahle cyclic decomposition definition denote hy direct sum direct summand divisihle Dugas elements emhedding endomorphism ring equivalent exact sequence example exists finite rank finite representation type fl-module Fuchs functor generalixation group G hasic suhgroup hasis hecause height hence hetween homomorphism hoth idempotents implies infinite integer isomorphic isotype suhgroups lattice Lemma Let G limit ordinal Math matrix maximal non-xero numher ohjects ohserve ohtain p-adic p-group poset preseparative prime ideal prohlem Proof Proposition pure suhgroup quasi-isomorphic quotient regular cardinal regular ring relation array relation system result right ideal S-cyclic satisfies separahle simply presented suhgroup H suhgroup of G suhmodule suhset summahle Suppose theory topology torsion module torsion product torsion-free group totally projective valuation domain weakly injective xero