Abelian Groups and Modules

Abelian Groups and Modules

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ISBN 9780824797898
Cat# DK5438
 

Summary

Contains 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.

Table of Contents

Survey articles: a survey of Butler groups and the role of representations; new non-free Whitehead groups by colouring; simply presented Torsion modules over valuation domains;Abelian groups and the Torsion product; intuitionistic Abelian group theory; Socle projective representations of partially ordered sets and Tits quadratic forms with applications to lattices over orders; a survey of balanced Butler groups and representation. Research articles: mixed Abelian groups with the Summand-intersection property; remarks on B2-groups; a strong stacked bases theorem for Finite Rank HCD groups; families of preseparative subgroups; direct decompositions of almost completely decomposable Abelian groups; on the group of eventually divisible integer sequences; primes and completions of right chain rings; unsaturated classes of modules; B(1)-groups: some counterexamples; direct decomposition of ACVD groups with primary regulating index; on transitive and fully transitive mixed Abelian groups; G.C.H. implies existence of many rigid almost free Abelian groups; extensions of finitely faithful S-groups; units of modular group algebras of isotype subgroups of D.S.C.'s; calculating indicators in a class of mixed modules; a new proof for a theorem of Muller and Singh; on maximal subgroups of the semigroup of non-negative matrices; local completions of torsion-free p-ADIC modules; balanced subgroups of completely decomposable groups; summable subsets of direct products of infinite cyclic groups; on Baer's Lemma; two problems of Ziegler and uniform modules over regular rings; on weakly injective continuous modules; functors from locally completely decomposable groups to mixed groups. (Part contents).

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