Lecture notes in pure and applied mathematics

This informative volume contains the proceedings of the international conference on abelian groups and modules held recently in Colorado Springs - presenting 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. Providing an overview of current research directions, Abelian Groups and Modules offers original contributions from over 33 conference participants on topics such as finite rank Butler groups ... almost completely decomposable groups ... Butler groups of infinite rank ... mixed groups ... torsion-free abelian groups ... modules over chain rings ... set/model theoretical applications ... category arguments and descriptive set theory ... applications to algebra ... and more. Including a number of open questions and problems, Abelian Groups and Modules is an outstanding reference for algebraists; group, module, and number theorists; and graduate mathematics students.