**Contemporary Mathematics**

Volume: 130;
1992;
394 pp;
Softcover

MSC: Primary 16; 20;

Print ISBN: 978-0-8218-5142-5

Product Code: CONM/130

List Price: $63.00

Individual Member Price: $50.40

**Electronic ISBN: 978-0-8218-7718-0
Product Code: CONM/130.E**

List Price: $63.00

Individual Member Price: $50.40

# Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr.

Share this page *Edited by *
*Laszlo Fuchs; Charles I. Vinsonhaler; Kenneth R. Goodearl; J. T. Stafford*

This collection of research papers is dedicated to the memory of the distinguished algebraist Robert B. Warfield, Jr. Focusing on abelian group theory and noncommutative ring theory, the book covers a wide range of topics reflecting Warfield's interests and includes two articles surveying his contributions to mathematics. Because the articles have been refereed to high standards and will not appear elsewhere, this volume is indispensable to any researcher in noncommutative ring theory or abelian group theory. With papers by some of the major leaders in the field, this book will also be important to anyone interested in these areas, as it provides an overview of current research directions.

# Table of Contents

## Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr.

- Contents v6 free
- Preface ix10 free
- Robert Breckenridge Warfield, Jr. 112 free
- The abelian group papers of Robert B. Warfield, Jr . 516
- Warfield in ring theory 1122
- Endomorphism rings, tensor products and fuchs' problem 47 1728
- Endomorphism rings of p-groups having length cofinal with ω 3344
- Skew differential operators on commutative rings 4960
- Isomorphisms from top to bottom 6980
- Power intersection in Noetherian P.I. rings 8192
- Colimits of functors and grothendieck groups of infinite group algebras 89100
- Modules over hereditary rings 111122
- An explicit description of all simple k([x]][ә]-modules 121132
- Countable Butler groups 133144
- An Unbounded localizable clique 145156
- The Auslander-Reiten translate 153164
- On the abundance of N1-separable modules 167178
- Graded BGG algebras 181192
- Krull and global dimension of certain iterated skew polynomial rings 201212
- Prime factor series of modules over a Noetherian algebra 215226
- Enveloping algebras of solvable Lie superalgebras are catenary 231242
- Prime and primitive ideals in enveloping algebras of solvable Lie superalgebras 237248
- Endomorphism algebras of not necessarily cotorsion-free modules 257268
- Direct sum decompositions of vector spaces equipped with linear and bilinear forms 265276
- Maximal orders and deformations of modular group algebras 275286
- Butler groups and Bext: A constructive view 289300
- Goldie-prime serial rings 301312
- A Connes spectrum for Hopf algebras 311322
- Minimal regular rings 335346
- The Loewy length of the Jacobson radical of a bounded endomorphism ring 349360
- Warfield duality and irreducible groups 361372
- The constructive theory of countably generated Warfield modules 371382
- A note on generic division algebras 385396