Eklof / Göbel Abelian Groups and Modules

International Conference in Dublin, August 10–14, 1998
1999
ISBN: 978-3-0348-7591-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 377 Seiten, eBook

Reihe: Trends in Mathematics

Zielgruppe

Research

Autoren/Hrsg.

Eklof, Paul C.

Göbel, Rüdiger

Inhaltsverzeichnis

Ross Allen Beaumont (In Memoriam).- Modular group algebras and simply presented groups.- Abelian automorphism groups of countable rank.- Transitivity and full transitivity over subgroups of abelian p-groups.- Subgroups of p5-bounded groups.- Groups acting on modules.- Some mixed abelian groups as modules over the ring of pseudo-rational numbers.- The Baer-Kaplansky theorem for direct sums of self-small mixed groups.- Finite rank Butler groups with small typesets.- Normal forms of matrices with applications to almost completely decomposable groups.- Admissible matrices as base changes of B(1)-groups: a realizing algorithm.- Butler modules over 1-dimensional Noetherian domains.- Completely decomposable summands of almost completely decomposable groups.- Some matrix rings associated with ACD groups.- Stacked bases for a pair of homogeneous completely decomposable groups with bounded quotient.- Separability conditions for vector R-modules.- Almost disjoint pure subgroups of the Baer-Specker group.- Abelian groups mapping onto their endomorphism rings.- Purity and Reid’s theorem.- Basic subgroups and a freeness criterion for torsion-free abelian groups.- Absolutely rigid systems and absolutely indecomposable groups.- Around nonclassifiability for countable torsion free abelian groups.- On the compact-open topology of Ext(C,A).- Direct decompositions of LCA groups.- Realizing automorphism groups of metabelian groups.- On the class semigroups of Prüfer domains.- Uniform modules, ?-invariants, and Ziegler spectra of regular rings.- Locally simple objects.- On purely extending modules.- The number of submodules.