Laszlo Fuchs, Rudiger Gobel
CRC Press, Apr 28, 1993 - Mathematics - 280 pages
This 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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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