eBook ISBN:  9780821877180 
Product Code:  CONM/130.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877180 
Product Code:  CONM/130.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 130; 1992; 394 ppMSC: Primary 16; 20
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

Articles

L. Fuchs, K. R. Goodearl, J. T. Stafford and C. Vinsonhaler — Robert Breckenridge Warfield, Jr [ MR 1176104 ]

C. Vinsonhaler — The abelian group papers of Robert B. Warfield, Jr [ MR 1176105 ]

K. R. Goodearl and J. T. Stafford — Warfield in ring theory [ MR 1176106 ]

Ulrich Albrecht — Endomorphism rings, tensor products and Fuchs’ problem 47 [ MR 1176107 ]

Raimund Behler, Rüdiger Göbel and Ray Mines — Endomorphism rings of $p$groups having length cofinal with $\omega $ [ MR 1176108 ]

Allen D. Bell — Skew differential operators on commutative rings [ MR 1176109 ]

George M. Bergman — Isomorphisms from top to bottom [ MR 1176110 ]

Amiram Braun — Power intersection in Noetherian P.I. rings [ MR 1176111 ]

K. A. Brown and M. Lorenz — Colimits of functors, and Grothendieck groups of infinite group algebras [ MR 1176112 ]

P. M. Cohn — Modules over hereditary rings [ MR 1176113 ]

Arno van den Essen and A. H. M. Levelt — An explicit description of all simple $k[\![x]\!][\partial ]$modules [ MR 1176114 ]

L. Fuchs and C. Metelli — Countable Butler groups [ MR 1176115 ]

K. R. Goodearl — An unbounded localizable clique [ MR 1176116 ]

Ivo Herzog — The AuslanderReiten translate [ MR 1176117 ]

Birge ZimmermannHuisgen — On the abundance of $\aleph _1$separable modules [ MR 1176118 ]

Ronald S. Irving — Graded BGG algebras [ MR 1176119 ]

David A. Jordan — Krull and global dimension of certain iterated skew polynomial rings [ MR 1176120 ]

Günter Krause — Prime factor series of modules over a Noetherian algebra [ MR 1176121 ]

T. H. Lenagan — Enveloping algebras of solvable Lie superalgebras are catenary [ MR 1176122 ]

Edward S. Letzter — Prime and primitive ideals in enveloping algebras of solvable Lie superalgebras [ MR 1176123 ]

Warren May — Endomorphism algebras of not necessarily cotorsionfree modules [ MR 1176124 ]

J. C. McConnell and R. B. Warfield, Jr. — Direct sum decompositions of vector spaces equipped with linear and bilinear forms [ MR 1176125 ]

Gerhard O. Michler — Maximal orders and deformations of modular group algebras [ MR 1176126 ]

R. Mines and C. Vinsonhaler — Butler groups and Bext: a constructive view [ MR 1176127 ]

Bruno J. Müller — Goldieprime serial rings [ MR 1176128 ]

James Osterburg, D. S. Passman and Declan Quinn — A Connes spectrum for Hopf algebras [ MR 1176129 ]

R. S. Pierce — Minimal regular rings [ MR 1176130 ]

Cheryl E. Praeger and Phillip Schultz — The Loewy length of the Jacobson radical of a bounded endomorphism ring [ MR 1176131 ]

J. D. Reid — Warfield duality and irreducible groups [ MR 1176132 ]

Fred Richman — The constructive theory of countably generated Warfield modules [ MR 1176133 ]

David J. Saltman — A note on generic division algebras [ MR 1176134 ]


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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.

Articles

L. Fuchs, K. R. Goodearl, J. T. Stafford and C. Vinsonhaler — Robert Breckenridge Warfield, Jr [ MR 1176104 ]

C. Vinsonhaler — The abelian group papers of Robert B. Warfield, Jr [ MR 1176105 ]

K. R. Goodearl and J. T. Stafford — Warfield in ring theory [ MR 1176106 ]

Ulrich Albrecht — Endomorphism rings, tensor products and Fuchs’ problem 47 [ MR 1176107 ]

Raimund Behler, Rüdiger Göbel and Ray Mines — Endomorphism rings of $p$groups having length cofinal with $\omega $ [ MR 1176108 ]

Allen D. Bell — Skew differential operators on commutative rings [ MR 1176109 ]

George M. Bergman — Isomorphisms from top to bottom [ MR 1176110 ]

Amiram Braun — Power intersection in Noetherian P.I. rings [ MR 1176111 ]

K. A. Brown and M. Lorenz — Colimits of functors, and Grothendieck groups of infinite group algebras [ MR 1176112 ]

P. M. Cohn — Modules over hereditary rings [ MR 1176113 ]

Arno van den Essen and A. H. M. Levelt — An explicit description of all simple $k[\![x]\!][\partial ]$modules [ MR 1176114 ]

L. Fuchs and C. Metelli — Countable Butler groups [ MR 1176115 ]

K. R. Goodearl — An unbounded localizable clique [ MR 1176116 ]

Ivo Herzog — The AuslanderReiten translate [ MR 1176117 ]

Birge ZimmermannHuisgen — On the abundance of $\aleph _1$separable modules [ MR 1176118 ]

Ronald S. Irving — Graded BGG algebras [ MR 1176119 ]

David A. Jordan — Krull and global dimension of certain iterated skew polynomial rings [ MR 1176120 ]

Günter Krause — Prime factor series of modules over a Noetherian algebra [ MR 1176121 ]

T. H. Lenagan — Enveloping algebras of solvable Lie superalgebras are catenary [ MR 1176122 ]

Edward S. Letzter — Prime and primitive ideals in enveloping algebras of solvable Lie superalgebras [ MR 1176123 ]

Warren May — Endomorphism algebras of not necessarily cotorsionfree modules [ MR 1176124 ]

J. C. McConnell and R. B. Warfield, Jr. — Direct sum decompositions of vector spaces equipped with linear and bilinear forms [ MR 1176125 ]

Gerhard O. Michler — Maximal orders and deformations of modular group algebras [ MR 1176126 ]

R. Mines and C. Vinsonhaler — Butler groups and Bext: a constructive view [ MR 1176127 ]

Bruno J. Müller — Goldieprime serial rings [ MR 1176128 ]

James Osterburg, D. S. Passman and Declan Quinn — A Connes spectrum for Hopf algebras [ MR 1176129 ]

R. S. Pierce — Minimal regular rings [ MR 1176130 ]

Cheryl E. Praeger and Phillip Schultz — The Loewy length of the Jacobson radical of a bounded endomorphism ring [ MR 1176131 ]

J. D. Reid — Warfield duality and irreducible groups [ MR 1176132 ]

Fred Richman — The constructive theory of countably generated Warfield modules [ MR 1176133 ]

David J. Saltman — A note on generic division algebras [ MR 1176134 ]