**Contemporary Mathematics**

Volume: 419;
2006;
319 pp;
Softcover

MSC: Primary 15; 16; 94;

Print ISBN: 978-0-8218-3842-6

Product Code: CONM/419

List Price: $97.00

Individual Member Price: $77.60

**Electronic ISBN: 978-0-8218-8098-2
Product Code: CONM/419.E**

List Price: $97.00

Individual Member Price: $77.60

# Algebra and Its Applications

Share this page *Edited by *
*Dinh V. Huynh; S. K. Jain; S. R. López-Permouth*

This volume consists of contributions by speakers at a
Conference on Algebra and Its Applications that took place in Athens, Ohio, in
March of 2005. It provides a snapshot of the diversity of themes and
applications that interest algebraists today. The papers in this volume
include some of the latest results in the theory of modules, noncommutative
rings, representation theory, matrix theory, linear algebra over noncommutative
rings, cryptography, error-correcting codes over finite rings, and
projective-geometry codes, as well as expository articles that will provide
algebraists and other mathematicians, including graduate students, with an
accessible introduction to areas outside their own expertise.

The book will serve both the specialist looking for the latest result and
the novice seeking an accessible reference for some of the ideas and
results presented here.

#### Readership

Graduate students and research mathematicians interested in ring and module theory; applications to error-correcting codes.

# Table of Contents

## Algebra and Its Applications

- Contents v6 free
- On Countably Σ-CS Modules 110 free
- Moduli Spaces of Graded Representations of Finite Dimensional Algebras 716
- An Essential Extension with Nonisomorphic Ring Structures 2938
- Supplemented Principal Ideals 4958
- Some Properties of Rings Reflected in Infinite Matrix Rings 5968
- Slender Monoids 7382
- Multivariable Public Key Cryptosystems 7988
- Repeated-Root Constacyclic Codes of Length 2s over Z2a 95104
- Contravariant Finiteness and Pure Semisimple Rings 111120
- A Characterization of Additive Categories with the Krull-Schmidt Property 125134
- A Dixmier-Moeglin Equivalence for Poisson Algebras with Torus Actions 131140
- Pure-Injectivity in the Category of Flat Modules 155164
- Eigenvalues, Multiplicities and Graphs 167176
- Closure of Matrix Classes under Schur Complementation, Including Singularities 185194
- Sums of Alternating Matrices and Invertible Matrices 201210
- Internal Exchange Rings 213222
- Representation of σ-Complete MV-Algebras and their Associated Dedekind σ-Complete l-Groups 219228
- Noncommutative Linear Algebra 231240
- The Moduli Space of Three-Dimensional Lie Algebras 255264
- Questions Related to Koethe's Nil Ideal Problem 269278
- Bounds on the Pseudo-Weight of Minimal Pseudo-Codewords of Projective Geometry Codes 285294
- On Galois Extensions with Automorphism Group as Galois Group 297306
- A *-Litoff Theorem for Associative Pairs 307316
- Open Problems 315324