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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 279 mm
Breite: 216 mm
Gewicht
ISBN-13
978-0-8247-9789-8 (9780824797898)
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Schweitzer Klassifikation
Herausgeber*in
University of Colorado, Colorado Springs
Baylor University, Waco, Texas, USA
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).