Modules and Comodules (Trends in Mathematics)

✍ Scribed by Tomasz Brzezinski, Jose Luis Gomez Pardo, Ivan Shestakov, Patrick F. Smith

• Year: 2008
• Tongue: English
• Leaves: 355
• Edition: 1
• Category: Library

✦ Synopsis

The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.

✦ Table of Contents

Cover......Page 1
Trends in Mathematics......Page 3
Modules and Comodules......Page 4
ISBN 978-3-7643-8741-9......Page 5
Contents......Page 6
Preface......Page 8
Robert Wisbauer......Page 11
Injective Morita Contexts (Revisited)......Page 13
A Categorical Proof of a Useful Result......Page 43
On Nichols Algebras with Generic Braiding......Page 58
Dual Algebras of Some Semisimple Finite-dimensional Hopf Algebras......Page 76
Balanced Bilinear Forms for Corings......Page 97
Ring Hulls of Semiprime Homomorphic Images......Page 110
Notes on Formal Smoothness......Page 121
Certain Chain Conditions in Modules over Dedekind Domains and Related Rings......Page 133
τ-Injective Modules......Page 150
A Note on Polynomial Rings over Nil Rings......Page 176
QI-modules......Page 180
Corings with Exact Rational Functors and Injective Objects......Page 191
Preradicals of Associative Algebras and their Connections with Preradicals of Modules......Page 208
On the Construction of Separable Modules......Page 231
Essential Extensions of a Direct Sum of Simple Modules-II......Page 246
Pseudo-Galois Extensions and Hopf Algebroids......Page 250
Cohereditary Modules in σ[M]......Page 268
When Maximal Linearly Independent Subsets of a Free Module Have the Same Cardinality?......Page 283
Embedding Group Algebras into Finite von Neumann Regular Rings......Page 296
The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis......Page 302
On Some Injective Modules In σ[M]......Page 314
Biproducts and Two-cocycle Twists of Hopf Algebras......Page 331