Rings, Modules and Representations

This volume originated from talks given at the International Conference on Rings and Things held in June, 2007 at Ohio University-Zanesville.
The papers in this volume contain the latest results in current active research areas in the theory of rings and modules, including noncommutative and commutative ring theory, module theory, representation theory, and coding theory. In particular, papers in this volume deal with topics such as decomposition theory of modules, injectivity and generalizations, tilting theory, rings and modules with chain conditions, Leavitt path algebras, representations of finite dimensional algebras, and codes over rings. While most of these papers are original research articles, some are expository surveys.
This book is suitable for graduate students and researchers interested in noncommutative ring and module theory, representation theory, and applications.

Subgroups of direct products of groups, ideals and subrings of direct products of rings, and Goursat's lemma
An example of Osofsky and essential overrings
On commutative clean rings and pm rings
Modules satisfying the ascending chain condition on submodules with bounded uniform dimension
Relative purity, flatness, and injectivity
Repeated-root constacyclic codes of prime power length
The socle series of indecomposable injective modules over a principal left and right ideal domain
Some remarks on a question of Faith
Subdirect representations of categories of modules
Fitting's lemma for modules with well-behaved clones
Leavitt path algebras and direct limits
Simple modules over small rings
A hierarchy of parametrizing varieties for representations
On the CS condition and rings with chain conditions
Ore extensions and $V$-domains
Oka and Ako ideal families in commutative rings
Matrix representations of skew polynomial rings with semisimple coefficient rings
Topological representations of von Neumann regular algebras
A unified approach to some results on one-sided ideals and matrix rings of associative rings
Tilting and cotilting classes over Gorenstein rings
Semigroups of modules: A survey
Generators in module and commodule categories
Table of Contents provided by Publisher. All Rights Reserved.

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